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Finding the Fourth Proportional to 390.08, 537.62 and 296.61

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Solution

The fourth proportional to 390.08, 537.62 and 296.61 is: 408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.08 : 537.62 = 296.61 : x
  2. Step 2: Convert to fraction form
    390.08/537.62 = 296.61/x
  3. Step 3: Cross multiply
    390.08x = 537.62 × 296.61
  4. Step 4: Simplify right side
    390.08x = 159,461.99
  5. Step 5: Solve for x
    x = 159,461.99/390.08
  6. Step 6: Final answer
    x = 408.80

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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.