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Finding the Fourth Proportional to 548.42, 821.90 and 288.63

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Solution

The fourth proportional to 548.42, 821.90 and 288.63 is: 432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.42 : 821.90 = 288.63 : x
  2. Step 2: Convert to fraction form
    548.42/821.90 = 288.63/x
  3. Step 3: Cross multiply
    548.42x = 821.90 × 288.63
  4. Step 4: Simplify right side
    548.42x = 237,225.72
  5. Step 5: Solve for x
    x = 237,225.72/548.42
  6. Step 6: Final answer
    x = 432.57

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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.