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Finding the Fourth Proportional to 572.38, 856.74 and 408.15

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Solution

The fourth proportional to 572.38, 856.74 and 408.15 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.38 : 856.74 = 408.15 : x
  2. Step 2: Convert to fraction form
    572.38/856.74 = 408.15/x
  3. Step 3: Cross multiply
    572.38x = 856.74 × 408.15
  4. Step 4: Simplify right side
    572.38x = 349,679.96
  5. Step 5: Solve for x
    x = 349,679.96/572.38
  6. Step 6: Final answer
    x = 610.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.