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Finding the Fourth Proportional to 500.46, 751.14 and 257.13

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Solution

The fourth proportional to 500.46, 751.14 and 257.13 is: 385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 751.14 = 257.13 : x
  2. Step 2: Convert to fraction form
    500.46/751.14 = 257.13/x
  3. Step 3: Cross multiply
    500.46x = 751.14 × 257.13
  4. Step 4: Simplify right side
    500.46x = 193,140.63
  5. Step 5: Solve for x
    x = 193,140.63/500.46
  6. Step 6: Final answer
    x = 385.93

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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.