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Finding the Fourth Proportional to 390.78, 586.28 and 147.38

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Solution

The fourth proportional to 390.78, 586.28 and 147.38 is: 221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 586.28 = 147.38 : x
  2. Step 2: Convert to fraction form
    390.78/586.28 = 147.38/x
  3. Step 3: Cross multiply
    390.78x = 586.28 × 147.38
  4. Step 4: Simplify right side
    390.78x = 86,403.74
  5. Step 5: Solve for x
    x = 86,403.74/390.78
  6. Step 6: Final answer
    x = 221.10

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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.