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Finding the Fourth Proportional to 529.40, 731.16 and 398.96

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Solution

The fourth proportional to 529.40, 731.16 and 398.96 is: 551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 731.16 = 398.96 : x
  2. Step 2: Convert to fraction form
    529.40/731.16 = 398.96/x
  3. Step 3: Cross multiply
    529.40x = 731.16 × 398.96
  4. Step 4: Simplify right side
    529.40x = 291,703.59
  5. Step 5: Solve for x
    x = 291,703.59/529.40
  6. Step 6: Final answer
    x = 551.01

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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.