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Finding the Fourth Proportional to 407.88, 609.17 and 353.16

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Solution

The fourth proportional to 407.88, 609.17 and 353.16 is: 527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 609.17 = 353.16 : x
  2. Step 2: Convert to fraction form
    407.88/609.17 = 353.16/x
  3. Step 3: Cross multiply
    407.88x = 609.17 × 353.16
  4. Step 4: Simplify right side
    407.88x = 215,132.71
  5. Step 5: Solve for x
    x = 215,132.71/407.88
  6. Step 6: Final answer
    x = 527.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.