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Finding the Fourth Proportional to 532.67, 797.13 and 407.36

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Solution

The fourth proportional to 532.67, 797.13 and 407.36 is: 609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.67 : 797.13 = 407.36 : x
  2. Step 2: Convert to fraction form
    532.67/797.13 = 407.36/x
  3. Step 3: Cross multiply
    532.67x = 797.13 × 407.36
  4. Step 4: Simplify right side
    532.67x = 324,720.87
  5. Step 5: Solve for x
    x = 324,720.87/532.67
  6. Step 6: Final answer
    x = 609.62

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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.