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Finding the Fourth Proportional to 591.88, 817.62 and 474.63

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Solution

The fourth proportional to 591.88, 817.62 and 474.63 is: 655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.88 : 817.62 = 474.63 : x
  2. Step 2: Convert to fraction form
    591.88/817.62 = 474.63/x
  3. Step 3: Cross multiply
    591.88x = 817.62 × 474.63
  4. Step 4: Simplify right side
    591.88x = 388,066.98
  5. Step 5: Solve for x
    x = 388,066.98/591.88
  6. Step 6: Final answer
    x = 655.65

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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.