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Finding the Fourth Proportional to 517.83, 714.61 and 284.95

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Solution

The fourth proportional to 517.83, 714.61 and 284.95 is: 393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.83 : 714.61 = 284.95 : x
  2. Step 2: Convert to fraction form
    517.83/714.61 = 284.95/x
  3. Step 3: Cross multiply
    517.83x = 714.61 × 284.95
  4. Step 4: Simplify right side
    517.83x = 203,628.12
  5. Step 5: Solve for x
    x = 203,628.12/517.83
  6. Step 6: Final answer
    x = 393.23

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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.