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Finding the Fourth Proportional to 475.63, 709.11 and 463.66

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Solution

The fourth proportional to 475.63, 709.11 and 463.66 is: 691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.63 : 709.11 = 463.66 : x
  2. Step 2: Convert to fraction form
    475.63/709.11 = 463.66/x
  3. Step 3: Cross multiply
    475.63x = 709.11 × 463.66
  4. Step 4: Simplify right side
    475.63x = 328,784.17
  5. Step 5: Solve for x
    x = 328,784.17/475.63
  6. Step 6: Final answer
    x = 691.26

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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.