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Finding the Fourth Proportional to 548.58, 821.70 and 432.24

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Solution

The fourth proportional to 548.58, 821.70 and 432.24 is: 647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.58 : 821.70 = 432.24 : x
  2. Step 2: Convert to fraction form
    548.58/821.70 = 432.24/x
  3. Step 3: Cross multiply
    548.58x = 821.70 × 432.24
  4. Step 4: Simplify right side
    548.58x = 355,171.61
  5. Step 5: Solve for x
    x = 355,171.61/548.58
  6. Step 6: Final answer
    x = 647.44

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Why These Related Problems?

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