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Finding the Fourth Proportional to 670.97, 925.44 and 538.05

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Solution

The fourth proportional to 670.97, 925.44 and 538.05 is: 742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.97 : 925.44 = 538.05 : x
  2. Step 2: Convert to fraction form
    670.97/925.44 = 538.05/x
  3. Step 3: Cross multiply
    670.97x = 925.44 × 538.05
  4. Step 4: Simplify right side
    670.97x = 497,928.36
  5. Step 5: Solve for x
    x = 497,928.36/670.97
  6. Step 6: Final answer
    x = 742.10

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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.