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Finding the Fourth Proportional to 711.08, 981.62 and 475.42

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Solution

The fourth proportional to 711.08, 981.62 and 475.42 is: 656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.08 : 981.62 = 475.42 : x
  2. Step 2: Convert to fraction form
    711.08/981.62 = 475.42/x
  3. Step 3: Cross multiply
    711.08x = 981.62 × 475.42
  4. Step 4: Simplify right side
    711.08x = 466,681.78
  5. Step 5: Solve for x
    x = 466,681.78/711.08
  6. Step 6: Final answer
    x = 656.30

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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.