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Finding the Fourth Proportional to 582.64, 873.96 and 149.79

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Solution

The fourth proportional to 582.64, 873.96 and 149.79 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 873.96 = 149.79 : x
  2. Step 2: Convert to fraction form
    582.64/873.96 = 149.79/x
  3. Step 3: Cross multiply
    582.64x = 873.96 × 149.79
  4. Step 4: Simplify right side
    582.64x = 130,910.47
  5. Step 5: Solve for x
    x = 130,910.47/582.64
  6. Step 6: Final answer
    x = 224.69

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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.