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Finding the Fourth Proportional to 517.40, 714.02 and 284.56

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Solution

The fourth proportional to 517.40, 714.02 and 284.56 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 714.02 = 284.56 : x
  2. Step 2: Convert to fraction form
    517.40/714.02 = 284.56/x
  3. Step 3: Cross multiply
    517.40x = 714.02 × 284.56
  4. Step 4: Simplify right side
    517.40x = 203,181.53
  5. Step 5: Solve for x
    x = 203,181.53/517.40
  6. Step 6: Final answer
    x = 392.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.