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Finding the Fourth Proportional to 370.27, 510.76 and 296.97

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Solution

The fourth proportional to 370.27, 510.76 and 296.97 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 510.76 = 296.97 : x
  2. Step 2: Convert to fraction form
    370.27/510.76 = 296.97/x
  3. Step 3: Cross multiply
    370.27x = 510.76 × 296.97
  4. Step 4: Simplify right side
    370.27x = 151,677.18
  5. Step 5: Solve for x
    x = 151,677.18/370.27
  6. Step 6: Final answer
    x = 409.64

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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.