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Finding the Fourth Proportional to 517.10, 713.64 and 296.08

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Solution

The fourth proportional to 517.10, 713.64 and 296.08 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 713.64 = 296.08 : x
  2. Step 2: Convert to fraction form
    517.10/713.64 = 296.08/x
  3. Step 3: Cross multiply
    517.10x = 713.64 × 296.08
  4. Step 4: Simplify right side
    517.10x = 211,294.53
  5. Step 5: Solve for x
    x = 211,294.53/517.10
  6. Step 6: Final answer
    x = 408.61

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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.