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Finding the Fourth Proportional to 390.60, 585.36 and 378.92

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Solution

The fourth proportional to 390.60, 585.36 and 378.92 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 585.36 = 378.92 : x
  2. Step 2: Convert to fraction form
    390.60/585.36 = 378.92/x
  3. Step 3: Cross multiply
    390.60x = 585.36 × 378.92
  4. Step 4: Simplify right side
    390.60x = 221,804.61
  5. Step 5: Solve for x
    x = 221,804.61/390.60
  6. Step 6: Final answer
    x = 567.86

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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.