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Finding the Fourth Proportional to 513.16, 708.14 and 292.10

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Solution

The fourth proportional to 513.16, 708.14 and 292.10 is: 403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.16 : 708.14 = 292.10 : x
  2. Step 2: Convert to fraction form
    513.16/708.14 = 292.10/x
  3. Step 3: Cross multiply
    513.16x = 708.14 × 292.10
  4. Step 4: Simplify right side
    513.16x = 206,842.69
  5. Step 5: Solve for x
    x = 206,842.69/513.16
  6. Step 6: Final answer
    x = 403.08

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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.