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Finding the Fourth Proportional to 547.52, 820.87 and 258.89

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Solution

The fourth proportional to 547.52, 820.87 and 258.89 is: 388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 820.87 = 258.89 : x
  2. Step 2: Convert to fraction form
    547.52/820.87 = 258.89/x
  3. Step 3: Cross multiply
    547.52x = 820.87 × 258.89
  4. Step 4: Simplify right side
    547.52x = 212,510.28
  5. Step 5: Solve for x
    x = 212,510.28/547.52
  6. Step 6: Final answer
    x = 388.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.