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Finding the Fourth Proportional to 516.29, 712.35 and 292.23

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Solution

The fourth proportional to 516.29, 712.35 and 292.23 is: 403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 712.35 = 292.23 : x
  2. Step 2: Convert to fraction form
    516.29/712.35 = 292.23/x
  3. Step 3: Cross multiply
    516.29x = 712.35 × 292.23
  4. Step 4: Simplify right side
    516.29x = 208,166.48
  5. Step 5: Solve for x
    x = 208,166.48/516.29
  6. Step 6: Final answer
    x = 403.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.