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Finding the Fourth Proportional to 591.47, 816.68 and 467.78

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Solution

The fourth proportional to 591.47, 816.68 and 467.78 is: 645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.47 : 816.68 = 467.78 : x
  2. Step 2: Convert to fraction form
    591.47/816.68 = 467.78/x
  3. Step 3: Cross multiply
    591.47x = 816.68 × 467.78
  4. Step 4: Simplify right side
    591.47x = 382,023.66
  5. Step 5: Solve for x
    x = 382,023.66/591.47
  6. Step 6: Final answer
    x = 645.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.