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Finding the Fourth Proportional to 522.57, 720.18 and 429.03

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Solution

The fourth proportional to 522.57, 720.18 and 429.03 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 720.18 = 429.03 : x
  2. Step 2: Convert to fraction form
    522.57/720.18 = 429.03/x
  3. Step 3: Cross multiply
    522.57x = 720.18 × 429.03
  4. Step 4: Simplify right side
    522.57x = 308,978.83
  5. Step 5: Solve for x
    x = 308,978.83/522.57
  6. Step 6: Final answer
    x = 591.27

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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.