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Finding the Fourth Proportional to 582.76, 874.05 and 491.86

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Solution

The fourth proportional to 582.76, 874.05 and 491.86 is: 737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 874.05 = 491.86 : x
  2. Step 2: Convert to fraction form
    582.76/874.05 = 491.86/x
  3. Step 3: Cross multiply
    582.76x = 874.05 × 491.86
  4. Step 4: Simplify right side
    582.76x = 429,910.23
  5. Step 5: Solve for x
    x = 429,910.23/582.76
  6. Step 6: Final answer
    x = 737.71

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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.