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Finding the Fourth Proportional to 517.99, 714.84 and 296.98

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Solution

The fourth proportional to 517.99, 714.84 and 296.98 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.99 : 714.84 = 296.98 : x
  2. Step 2: Convert to fraction form
    517.99/714.84 = 296.98/x
  3. Step 3: Cross multiply
    517.99x = 714.84 × 296.98
  4. Step 4: Simplify right side
    517.99x = 212,293.18
  5. Step 5: Solve for x
    x = 212,293.18/517.99
  6. Step 6: Final answer
    x = 409.84

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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.