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Finding the Fourth Proportional to 500.85, 750.47 and 257.45

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Solution

The fourth proportional to 500.85, 750.47 and 257.45 is: 385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.85 : 750.47 = 257.45 : x
  2. Step 2: Convert to fraction form
    500.85/750.47 = 257.45/x
  3. Step 3: Cross multiply
    500.85x = 750.47 × 257.45
  4. Step 4: Simplify right side
    500.85x = 193,203.46
  5. Step 5: Solve for x
    x = 193,203.46/500.85
  6. Step 6: Final answer
    x = 385.75

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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.