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Finding the Fourth Proportional to 548.07, 820.63 and 432.74

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Solution

The fourth proportional to 548.07, 820.63 and 432.74 is: 647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.07 : 820.63 = 432.74 : x
  2. Step 2: Convert to fraction form
    548.07/820.63 = 432.74/x
  3. Step 3: Cross multiply
    548.07x = 820.63 × 432.74
  4. Step 4: Simplify right side
    548.07x = 355,122.02
  5. Step 5: Solve for x
    x = 355,122.02/548.07
  6. Step 6: Final answer
    x = 647.95

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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.