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Finding the Fourth Proportional to 517.76, 714.51 and 284.90

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Solution

The fourth proportional to 517.76, 714.51 and 284.90 is: 393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.76 : 714.51 = 284.90 : x
  2. Step 2: Convert to fraction form
    517.76/714.51 = 284.90/x
  3. Step 3: Cross multiply
    517.76x = 714.51 × 284.90
  4. Step 4: Simplify right side
    517.76x = 203,563.90
  5. Step 5: Solve for x
    x = 203,563.90/517.76
  6. Step 6: Final answer
    x = 393.16

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