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Finding the Fourth Proportional to 632.13, 872.40 and 411.13

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Solution

The fourth proportional to 632.13, 872.40 and 411.13 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.13 : 872.40 = 411.13 : x
  2. Step 2: Convert to fraction form
    632.13/872.40 = 411.13/x
  3. Step 3: Cross multiply
    632.13x = 872.40 × 411.13
  4. Step 4: Simplify right side
    632.13x = 358,669.81
  5. Step 5: Solve for x
    x = 358,669.81/632.13
  6. Step 6: Final answer
    x = 567.40

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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.