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Finding the Fourth Proportional to 389.53, 583.88 and 145.96

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Solution

The fourth proportional to 389.53, 583.88 and 145.96 is: 218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 583.88 = 145.96 : x
  2. Step 2: Convert to fraction form
    389.53/583.88 = 145.96/x
  3. Step 3: Cross multiply
    389.53x = 583.88 × 145.96
  4. Step 4: Simplify right side
    389.53x = 85,223.12
  5. Step 5: Solve for x
    x = 85,223.12/389.53
  6. Step 6: Final answer
    x = 218.78

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Why These Related Problems?

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