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Finding the Fourth Proportional to 517.69, 714.53 and 296.77

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Solution

The fourth proportional to 517.69, 714.53 and 296.77 is: 409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.69 : 714.53 = 296.77 : x
  2. Step 2: Convert to fraction form
    517.69/714.53 = 296.77/x
  3. Step 3: Cross multiply
    517.69x = 714.53 × 296.77
  4. Step 4: Simplify right side
    517.69x = 212,050.02
  5. Step 5: Solve for x
    x = 212,050.02/517.69
  6. Step 6: Final answer
    x = 409.61

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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.