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Finding the Fourth Proportional to 452.54, 621.14 and 402.32

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Solution

The fourth proportional to 452.54, 621.14 and 402.32 is: 552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.54 : 621.14 = 402.32 : x
  2. Step 2: Convert to fraction form
    452.54/621.14 = 402.32/x
  3. Step 3: Cross multiply
    452.54x = 621.14 × 402.32
  4. Step 4: Simplify right side
    452.54x = 249,897.04
  5. Step 5: Solve for x
    x = 249,897.04/452.54
  6. Step 6: Final answer
    x = 552.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.