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Finding the Fourth Proportional to 395.38, 592.08 and 240.84

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Solution

The fourth proportional to 395.38, 592.08 and 240.84 is: 360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.38 : 592.08 = 240.84 : x
  2. Step 2: Convert to fraction form
    395.38/592.08 = 240.84/x
  3. Step 3: Cross multiply
    395.38x = 592.08 × 240.84
  4. Step 4: Simplify right side
    395.38x = 142,595.64
  5. Step 5: Solve for x
    x = 142,595.64/395.38
  6. Step 6: Final answer
    x = 360.65

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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.