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Finding the Fourth Proportional to 390.55, 585.75 and 130.52

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Solution

The fourth proportional to 390.55, 585.75 and 130.52 is: 195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.55 : 585.75 = 130.52 : x
  2. Step 2: Convert to fraction form
    390.55/585.75 = 130.52/x
  3. Step 3: Cross multiply
    390.55x = 585.75 × 130.52
  4. Step 4: Simplify right side
    390.55x = 76,452.09
  5. Step 5: Solve for x
    x = 76,452.09/390.55
  6. Step 6: Final answer
    x = 195.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.