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Finding the Fourth Proportional to 342.38, 510.94 and 296.66

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Solution

The fourth proportional to 342.38, 510.94 and 296.66 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.38 : 510.94 = 296.66 : x
  2. Step 2: Convert to fraction form
    342.38/510.94 = 296.66/x
  3. Step 3: Cross multiply
    342.38x = 510.94 × 296.66
  4. Step 4: Simplify right side
    342.38x = 151,575.46
  5. Step 5: Solve for x
    x = 151,575.46/342.38
  6. Step 6: Final answer
    x = 442.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.