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Finding the Fourth Proportional to 909.76, 1,363.62 and 390.20

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Solution

The fourth proportional to 909.76, 1,363.62 and 390.20 is: 584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.76 : 1,363.62 = 390.20 : x
  2. Step 2: Convert to fraction form
    909.76/1,363.62 = 390.20/x
  3. Step 3: Cross multiply
    909.76x = 1,363.62 × 390.20
  4. Step 4: Simplify right side
    909.76x = 532,084.52
  5. Step 5: Solve for x
    x = 532,084.52/909.76
  6. Step 6: Final answer
    x = 584.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.