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Finding the Fourth Proportional to 614.42, 925.77 and 548.10

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Solution

The fourth proportional to 614.42, 925.77 and 548.10 is: 825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.42 : 925.77 = 548.10 : x
  2. Step 2: Convert to fraction form
    614.42/925.77 = 548.10/x
  3. Step 3: Cross multiply
    614.42x = 925.77 × 548.10
  4. Step 4: Simplify right side
    614.42x = 507,414.54
  5. Step 5: Solve for x
    x = 507,414.54/614.42
  6. Step 6: Final answer
    x = 825.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.