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Finding the Fourth Proportional to 391.50, 538.65 and 292.86

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Solution

The fourth proportional to 391.50, 538.65 and 292.86 is: 402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.50 : 538.65 = 292.86 : x
  2. Step 2: Convert to fraction form
    391.50/538.65 = 292.86/x
  3. Step 3: Cross multiply
    391.50x = 538.65 × 292.86
  4. Step 4: Simplify right side
    391.50x = 157,749.04
  5. Step 5: Solve for x
    x = 157,749.04/391.50
  6. Step 6: Final answer
    x = 402.93

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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.