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Finding the Fourth Proportional to 474.10, 710.83 and 242.71

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Solution

The fourth proportional to 474.10, 710.83 and 242.71 is: 363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.10 : 710.83 = 242.71 : x
  2. Step 2: Convert to fraction form
    474.10/710.83 = 242.71/x
  3. Step 3: Cross multiply
    474.10x = 710.83 × 242.71
  4. Step 4: Simplify right side
    474.10x = 172,525.55
  5. Step 5: Solve for x
    x = 172,525.55/474.10
  6. Step 6: Final answer
    x = 363.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.