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Finding the Fourth Proportional to 567.24, 854.04 and 502.62

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Solution

The fourth proportional to 567.24, 854.04 and 502.62 is: 756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 854.04 = 502.62 : x
  2. Step 2: Convert to fraction form
    567.24/854.04 = 502.62/x
  3. Step 3: Cross multiply
    567.24x = 854.04 × 502.62
  4. Step 4: Simplify right side
    567.24x = 429,257.58
  5. Step 5: Solve for x
    x = 429,257.58/567.24
  6. Step 6: Final answer
    x = 756.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.