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Finding the Fourth Proportional to 645.85, 891.47 and 397.53

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Solution

The fourth proportional to 645.85, 891.47 and 397.53 is: 548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.85 : 891.47 = 397.53 : x
  2. Step 2: Convert to fraction form
    645.85/891.47 = 397.53/x
  3. Step 3: Cross multiply
    645.85x = 891.47 × 397.53
  4. Step 4: Simplify right side
    645.85x = 354,386.07
  5. Step 5: Solve for x
    x = 354,386.07/645.85
  6. Step 6: Final answer
    x = 548.71

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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.