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Finding the Fourth Proportional to 580.78, 801.42 and 347.98

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Solution

The fourth proportional to 580.78, 801.42 and 347.98 is: 480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 801.42 = 347.98 : x
  2. Step 2: Convert to fraction form
    580.78/801.42 = 347.98/x
  3. Step 3: Cross multiply
    580.78x = 801.42 × 347.98
  4. Step 4: Simplify right side
    580.78x = 278,878.13
  5. Step 5: Solve for x
    x = 278,878.13/580.78
  6. Step 6: Final answer
    x = 480.18

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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.