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Finding the Fourth Proportional to 630.42, 868.16 and 541.18

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Solution

The fourth proportional to 630.42, 868.16 and 541.18 is: 745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 868.16 = 541.18 : x
  2. Step 2: Convert to fraction form
    630.42/868.16 = 541.18/x
  3. Step 3: Cross multiply
    630.42x = 868.16 × 541.18
  4. Step 4: Simplify right side
    630.42x = 469,830.83
  5. Step 5: Solve for x
    x = 469,830.83/630.42
  6. Step 6: Final answer
    x = 745.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.