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Finding the Fourth Proportional to 393.16, 542.60 and 282.80

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Solution

The fourth proportional to 393.16, 542.60 and 282.80 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 542.60 = 282.80 : x
  2. Step 2: Convert to fraction form
    393.16/542.60 = 282.80/x
  3. Step 3: Cross multiply
    393.16x = 542.60 × 282.80
  4. Step 4: Simplify right side
    393.16x = 153,447.28
  5. Step 5: Solve for x
    x = 153,447.28/393.16
  6. Step 6: Final answer
    x = 390.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.