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Finding the Fourth Proportional to 584.32, 874.50 and 501.76

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Solution

The fourth proportional to 584.32, 874.50 and 501.76 is: 750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 874.50 = 501.76 : x
  2. Step 2: Convert to fraction form
    584.32/874.50 = 501.76/x
  3. Step 3: Cross multiply
    584.32x = 874.50 × 501.76
  4. Step 4: Simplify right side
    584.32x = 438,789.12
  5. Step 5: Solve for x
    x = 438,789.12/584.32
  6. Step 6: Final answer
    x = 750.94

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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.