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Finding the Fourth Proportional to 572.76, 859.17 and 504.75

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Solution

The fourth proportional to 572.76, 859.17 and 504.75 is: 757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.76 : 859.17 = 504.75 : x
  2. Step 2: Convert to fraction form
    572.76/859.17 = 504.75/x
  3. Step 3: Cross multiply
    572.76x = 859.17 × 504.75
  4. Step 4: Simplify right side
    572.76x = 433,671.17
  5. Step 5: Solve for x
    x = 433,671.17/572.76
  6. Step 6: Final answer
    x = 757.16

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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.