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Finding the Fourth Proportional to 513.46, 708.58 and 292.40

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Solution

The fourth proportional to 513.46, 708.58 and 292.40 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.46 : 708.58 = 292.40 : x
  2. Step 2: Convert to fraction form
    513.46/708.58 = 292.40/x
  3. Step 3: Cross multiply
    513.46x = 708.58 × 292.40
  4. Step 4: Simplify right side
    513.46x = 207,188.79
  5. Step 5: Solve for x
    x = 207,188.79/513.46
  6. Step 6: Final answer
    x = 403.51

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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.