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Finding the Fourth Proportional to 517.46, 714.09 and 296.42

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Solution

The fourth proportional to 517.46, 714.09 and 296.42 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 714.09 = 296.42 : x
  2. Step 2: Convert to fraction form
    517.46/714.09 = 296.42/x
  3. Step 3: Cross multiply
    517.46x = 714.09 × 296.42
  4. Step 4: Simplify right side
    517.46x = 211,666.99
  5. Step 5: Solve for x
    x = 211,666.99/517.46
  6. Step 6: Final answer
    x = 409.05

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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.