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Finding the Fourth Proportional to 529.92, 731.16 and 322.92

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Solution

The fourth proportional to 529.92, 731.16 and 322.92 is: 445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 731.16 = 322.92 : x
  2. Step 2: Convert to fraction form
    529.92/731.16 = 322.92/x
  3. Step 3: Cross multiply
    529.92x = 731.16 × 322.92
  4. Step 4: Simplify right side
    529.92x = 236,106.19
  5. Step 5: Solve for x
    x = 236,106.19/529.92
  6. Step 6: Final answer
    x = 445.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.