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Finding the Fourth Proportional to 488.41, 733.18 and 385.76

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Solution

The fourth proportional to 488.41, 733.18 and 385.76 is: 579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.41 : 733.18 = 385.76 : x
  2. Step 2: Convert to fraction form
    488.41/733.18 = 385.76/x
  3. Step 3: Cross multiply
    488.41x = 733.18 × 385.76
  4. Step 4: Simplify right side
    488.41x = 282,831.52
  5. Step 5: Solve for x
    x = 282,831.52/488.41
  6. Step 6: Final answer
    x = 579.09

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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.