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Finding the Fourth Proportional to 547.40, 754.74 and 469.64

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Solution

The fourth proportional to 547.40, 754.74 and 469.64 is: 647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.40 : 754.74 = 469.64 : x
  2. Step 2: Convert to fraction form
    547.40/754.74 = 469.64/x
  3. Step 3: Cross multiply
    547.40x = 754.74 × 469.64
  4. Step 4: Simplify right side
    547.40x = 354,456.09
  5. Step 5: Solve for x
    x = 354,456.09/547.40
  6. Step 6: Final answer
    x = 647.53

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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.