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Finding the Fourth Proportional to 390.32, 585.62 and 197.80

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Solution

The fourth proportional to 390.32, 585.62 and 197.80 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.32 : 585.62 = 197.80 : x
  2. Step 2: Convert to fraction form
    390.32/585.62 = 197.80/x
  3. Step 3: Cross multiply
    390.32x = 585.62 × 197.80
  4. Step 4: Simplify right side
    390.32x = 115,835.64
  5. Step 5: Solve for x
    x = 115,835.64/390.32
  6. Step 6: Final answer
    x = 296.77

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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.