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Finding the Fourth Proportional to 632.10, 946.83 and 400.86

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Solution

The fourth proportional to 632.10, 946.83 and 400.86 is: 600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.10 : 946.83 = 400.86 : x
  2. Step 2: Convert to fraction form
    632.10/946.83 = 400.86/x
  3. Step 3: Cross multiply
    632.10x = 946.83 × 400.86
  4. Step 4: Simplify right side
    632.10x = 379,546.27
  5. Step 5: Solve for x
    x = 379,546.27/632.10
  6. Step 6: Final answer
    x = 600.45

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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.