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Finding the Fourth Proportional to 315.07, 434.76 and 291.85

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Solution

The fourth proportional to 315.07, 434.76 and 291.85 is: 402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.07 : 434.76 = 291.85 : x
  2. Step 2: Convert to fraction form
    315.07/434.76 = 291.85/x
  3. Step 3: Cross multiply
    315.07x = 434.76 × 291.85
  4. Step 4: Simplify right side
    315.07x = 126,882.53
  5. Step 5: Solve for x
    x = 126,882.53/315.07
  6. Step 6: Final answer
    x = 402.72

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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.