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Finding the Fourth Proportional to 1,479.57, 2,219.35 and 384.02

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Solution

The fourth proportional to 1,479.57, 2,219.35 and 384.02 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.57 : 2,219.35 = 384.02 : x
  2. Step 2: Convert to fraction form
    1,479.57/2,219.35 = 384.02/x
  3. Step 3: Cross multiply
    1,479.57x = 2,219.35 × 384.02
  4. Step 4: Simplify right side
    1,479.57x = 852,265.53
  5. Step 5: Solve for x
    x = 852,265.53/1,479.57
  6. Step 6: Final answer
    x = 576.02

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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.