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Finding the Fourth Proportional to 918.53, 1,378.01 and 302.29

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Solution

The fourth proportional to 918.53, 1,378.01 and 302.29 is: 453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.53 : 1,378.01 = 302.29 : x
  2. Step 2: Convert to fraction form
    918.53/1,378.01 = 302.29/x
  3. Step 3: Cross multiply
    918.53x = 1,378.01 × 302.29
  4. Step 4: Simplify right side
    918.53x = 416,558.64
  5. Step 5: Solve for x
    x = 416,558.64/918.53
  6. Step 6: Final answer
    x = 453.51

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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.