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Finding the Fourth Proportional to 918.76, 1,378.14 and 302.23

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Solution

The fourth proportional to 918.76, 1,378.14 and 302.23 is: 453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,378.14 = 302.23 : x
  2. Step 2: Convert to fraction form
    918.76/1,378.14 = 302.23/x
  3. Step 3: Cross multiply
    918.76x = 1,378.14 × 302.23
  4. Step 4: Simplify right side
    918.76x = 416,515.25
  5. Step 5: Solve for x
    x = 416,515.25/918.76
  6. Step 6: Final answer
    x = 453.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.