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Finding the Fourth Proportional to 522.32, 721.08 and 398.50

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Solution

The fourth proportional to 522.32, 721.08 and 398.50 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 721.08 = 398.50 : x
  2. Step 2: Convert to fraction form
    522.32/721.08 = 398.50/x
  3. Step 3: Cross multiply
    522.32x = 721.08 × 398.50
  4. Step 4: Simplify right side
    522.32x = 287,346.77
  5. Step 5: Solve for x
    x = 287,346.77/522.32
  6. Step 6: Final answer
    x = 550.14

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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.