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Finding the Fourth Proportional to 632.48, 873.36 and 411.82

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Solution

The fourth proportional to 632.48, 873.36 and 411.82 is: 568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.48 : 873.36 = 411.82 : x
  2. Step 2: Convert to fraction form
    632.48/873.36 = 411.82/x
  3. Step 3: Cross multiply
    632.48x = 873.36 × 411.82
  4. Step 4: Simplify right side
    632.48x = 359,667.12
  5. Step 5: Solve for x
    x = 359,667.12/632.48
  6. Step 6: Final answer
    x = 568.66

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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.