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Finding the Fourth Proportional to 558.73, 767.48 and 542.33

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Solution

The fourth proportional to 558.73, 767.48 and 542.33 is: 744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.73 : 767.48 = 542.33 : x
  2. Step 2: Convert to fraction form
    558.73/767.48 = 542.33/x
  3. Step 3: Cross multiply
    558.73x = 767.48 × 542.33
  4. Step 4: Simplify right side
    558.73x = 416,223.76
  5. Step 5: Solve for x
    x = 416,223.76/558.73
  6. Step 6: Final answer
    x = 744.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.