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Finding the Fourth Proportional to 918.40, 1,377.64 and 302.12

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Solution

The fourth proportional to 918.40, 1,377.64 and 302.12 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.40 : 1,377.64 = 302.12 : x
  2. Step 2: Convert to fraction form
    918.40/1,377.64 = 302.12/x
  3. Step 3: Cross multiply
    918.40x = 1,377.64 × 302.12
  4. Step 4: Simplify right side
    918.40x = 416,212.60
  5. Step 5: Solve for x
    x = 416,212.60/918.40
  6. Step 6: Final answer
    x = 453.19

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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.