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Finding the Fourth Proportional to 473.50, 710.25 and 185.14

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Solution

The fourth proportional to 473.50, 710.25 and 185.14 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.50 : 710.25 = 185.14 : x
  2. Step 2: Convert to fraction form
    473.50/710.25 = 185.14/x
  3. Step 3: Cross multiply
    473.50x = 710.25 × 185.14
  4. Step 4: Simplify right side
    473.50x = 131,494.76
  5. Step 5: Solve for x
    x = 131,494.76/473.50
  6. Step 6: Final answer
    x = 277.71

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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.