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Finding the Fourth Proportional to 390.43, 585.69 and 101.89

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Solution

The fourth proportional to 390.43, 585.69 and 101.89 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.43 : 585.69 = 101.89 : x
  2. Step 2: Convert to fraction form
    390.43/585.69 = 101.89/x
  3. Step 3: Cross multiply
    390.43x = 585.69 × 101.89
  4. Step 4: Simplify right side
    390.43x = 59,675.95
  5. Step 5: Solve for x
    x = 59,675.95/390.43
  6. Step 6: Final answer
    x = 152.85

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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.