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Finding the Fourth Proportional to 572.76, 862.50 and 411.57

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Solution

The fourth proportional to 572.76, 862.50 and 411.57 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.76 : 862.50 = 411.57 : x
  2. Step 2: Convert to fraction form
    572.76/862.50 = 411.57/x
  3. Step 3: Cross multiply
    572.76x = 862.50 × 411.57
  4. Step 4: Simplify right side
    572.76x = 354,980.67
  5. Step 5: Solve for x
    x = 354,980.67/572.76
  6. Step 6: Final answer
    x = 619.77

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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.