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Finding the Fourth Proportional to 475.88, 709.49 and 463.91

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Solution

The fourth proportional to 475.88, 709.49 and 463.91 is: 691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.88 : 709.49 = 463.91 : x
  2. Step 2: Convert to fraction form
    475.88/709.49 = 463.91/x
  3. Step 3: Cross multiply
    475.88x = 709.49 × 463.91
  4. Step 4: Simplify right side
    475.88x = 329,137.19
  5. Step 5: Solve for x
    x = 329,137.19/475.88
  6. Step 6: Final answer
    x = 691.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.