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Finding the Fourth Proportional to 592.76, 887.91 and 476.57

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Solution

The fourth proportional to 592.76, 887.91 and 476.57 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 887.91 = 476.57 : x
  2. Step 2: Convert to fraction form
    592.76/887.91 = 476.57/x
  3. Step 3: Cross multiply
    592.76x = 887.91 × 476.57
  4. Step 4: Simplify right side
    592.76x = 423,146.83
  5. Step 5: Solve for x
    x = 423,146.83/592.76
  6. Step 6: Final answer
    x = 713.86

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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.