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Finding the Fourth Proportional to 517.32, 713.84 and 307.46

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Solution

The fourth proportional to 517.32, 713.84 and 307.46 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 713.84 = 307.46 : x
  2. Step 2: Convert to fraction form
    517.32/713.84 = 307.46/x
  3. Step 3: Cross multiply
    517.32x = 713.84 × 307.46
  4. Step 4: Simplify right side
    517.32x = 219,472.14
  5. Step 5: Solve for x
    x = 219,472.14/517.32
  6. Step 6: Final answer
    x = 424.25

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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.