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Finding the Fourth Proportional to 521.42, 720.15 and 410.55

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Solution

The fourth proportional to 521.42, 720.15 and 410.55 is: 567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.42 : 720.15 = 410.55 : x
  2. Step 2: Convert to fraction form
    521.42/720.15 = 410.55/x
  3. Step 3: Cross multiply
    521.42x = 720.15 × 410.55
  4. Step 4: Simplify right side
    521.42x = 295,658.74
  5. Step 5: Solve for x
    x = 295,658.74/521.42
  6. Step 6: Final answer
    x = 567.02

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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.