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Finding the Fourth Proportional to 591.99, 817.12 and 474.78

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Solution

The fourth proportional to 591.99, 817.12 and 474.78 is: 655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.99 : 817.12 = 474.78 : x
  2. Step 2: Convert to fraction form
    591.99/817.12 = 474.78/x
  3. Step 3: Cross multiply
    591.99x = 817.12 × 474.78
  4. Step 4: Simplify right side
    591.99x = 387,952.23
  5. Step 5: Solve for x
    x = 387,952.23/591.99
  6. Step 6: Final answer
    x = 655.34

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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.