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Finding the Fourth Proportional to 581.52, 875.76 and 524.48

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Solution

The fourth proportional to 581.52, 875.76 and 524.48 is: 789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.52 : 875.76 = 524.48 : x
  2. Step 2: Convert to fraction form
    581.52/875.76 = 524.48/x
  3. Step 3: Cross multiply
    581.52x = 875.76 × 524.48
  4. Step 4: Simplify right side
    581.52x = 459,318.60
  5. Step 5: Solve for x
    x = 459,318.60/581.52
  6. Step 6: Final answer
    x = 789.86

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Why These Related Problems?

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