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Finding the Fourth Proportional to 473.31, 710.24 and 180.77

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Solution

The fourth proportional to 473.31, 710.24 and 180.77 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 710.24 = 180.77 : x
  2. Step 2: Convert to fraction form
    473.31/710.24 = 180.77/x
  3. Step 3: Cross multiply
    473.31x = 710.24 × 180.77
  4. Step 4: Simplify right side
    473.31x = 128,385.63
  5. Step 5: Solve for x
    x = 128,385.63/473.31
  6. Step 6: Final answer
    x = 271.25

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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.