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Finding the Fourth Proportional to 517.49, 775.47 and 386.88

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Solution

The fourth proportional to 517.49, 775.47 and 386.88 is: 579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.49 : 775.47 = 386.88 : x
  2. Step 2: Convert to fraction form
    517.49/775.47 = 386.88/x
  3. Step 3: Cross multiply
    517.49x = 775.47 × 386.88
  4. Step 4: Simplify right side
    517.49x = 300,012.86
  5. Step 5: Solve for x
    x = 300,012.86/517.49
  6. Step 6: Final answer
    x = 579.75

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1.5x scale

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.