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Finding the Fourth Proportional to 630.65, 869.38 and 541.73

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Solution

The fourth proportional to 630.65, 869.38 and 541.73 is: 746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.65 : 869.38 = 541.73 : x
  2. Step 2: Convert to fraction form
    630.65/869.38 = 541.73/x
  3. Step 3: Cross multiply
    630.65x = 869.38 × 541.73
  4. Step 4: Simplify right side
    630.65x = 470,970.05
  5. Step 5: Solve for x
    x = 470,970.05/630.65
  6. Step 6: Final answer
    x = 746.80

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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.