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Finding the Fourth Proportional to 390.52, 585.42 and 197.56

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Solution

The fourth proportional to 390.52, 585.42 and 197.56 is: 296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.52 : 585.42 = 197.56 : x
  2. Step 2: Convert to fraction form
    390.52/585.42 = 197.56/x
  3. Step 3: Cross multiply
    390.52x = 585.42 × 197.56
  4. Step 4: Simplify right side
    390.52x = 115,655.58
  5. Step 5: Solve for x
    x = 115,655.58/390.52
  6. Step 6: Final answer
    x = 296.16

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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.