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Finding the Fourth Proportional to 370.40, 509.96 and 296.28

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Solution

The fourth proportional to 370.40, 509.96 and 296.28 is: 407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 509.96 = 296.28 : x
  2. Step 2: Convert to fraction form
    370.40/509.96 = 296.28/x
  3. Step 3: Cross multiply
    370.40x = 509.96 × 296.28
  4. Step 4: Simplify right side
    370.40x = 151,091.69
  5. Step 5: Solve for x
    x = 151,091.69/370.40
  6. Step 6: Final answer
    x = 407.92

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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.