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Finding the Fourth Proportional to 380.60, 570.48 and 282.92

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Solution

The fourth proportional to 380.60, 570.48 and 282.92 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.60 : 570.48 = 282.92 : x
  2. Step 2: Convert to fraction form
    380.60/570.48 = 282.92/x
  3. Step 3: Cross multiply
    380.60x = 570.48 × 282.92
  4. Step 4: Simplify right side
    380.60x = 161,400.20
  5. Step 5: Solve for x
    x = 161,400.20/380.60
  6. Step 6: Final answer
    x = 424.07

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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.