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Finding the Fourth Proportional to 473.39, 710.10 and 180.86

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Solution

The fourth proportional to 473.39, 710.10 and 180.86 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.39 : 710.10 = 180.86 : x
  2. Step 2: Convert to fraction form
    473.39/710.10 = 180.86/x
  3. Step 3: Cross multiply
    473.39x = 710.10 × 180.86
  4. Step 4: Simplify right side
    473.39x = 128,427.90
  5. Step 5: Solve for x
    x = 128,427.90/473.39
  6. Step 6: Final answer
    x = 271.29

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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.