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Finding the Fourth Proportional to 632.76, 874.18 and 540.46

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Solution

The fourth proportional to 632.76, 874.18 and 540.46 is: 746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 874.18 = 540.46 : x
  2. Step 2: Convert to fraction form
    632.76/874.18 = 540.46/x
  3. Step 3: Cross multiply
    632.76x = 874.18 × 540.46
  4. Step 4: Simplify right side
    632.76x = 472,459.32
  5. Step 5: Solve for x
    x = 472,459.32/632.76
  6. Step 6: Final answer
    x = 746.66

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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.