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Finding the Fourth Proportional to 391.66, 583.28 and 384.85

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Solution

The fourth proportional to 391.66, 583.28 and 384.85 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.66 : 583.28 = 384.85 : x
  2. Step 2: Convert to fraction form
    391.66/583.28 = 384.85/x
  3. Step 3: Cross multiply
    391.66x = 583.28 × 384.85
  4. Step 4: Simplify right side
    391.66x = 224,475.31
  5. Step 5: Solve for x
    x = 224,475.31/391.66
  6. Step 6: Final answer
    x = 573.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.