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Finding the Fourth Proportional to 521.86, 720.10 and 297.83

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Solution

The fourth proportional to 521.86, 720.10 and 297.83 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.86 : 720.10 = 297.83 : x
  2. Step 2: Convert to fraction form
    521.86/720.10 = 297.83/x
  3. Step 3: Cross multiply
    521.86x = 720.10 × 297.83
  4. Step 4: Simplify right side
    521.86x = 214,463.04
  5. Step 5: Solve for x
    x = 214,463.04/521.86
  6. Step 6: Final answer
    x = 410.96

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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.