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Finding the Fourth Proportional to 632.61, 946.91 and 400.68

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Solution

The fourth proportional to 632.61, 946.91 and 400.68 is: 599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 946.91 = 400.68 : x
  2. Step 2: Convert to fraction form
    632.61/946.91 = 400.68/x
  3. Step 3: Cross multiply
    632.61x = 946.91 × 400.68
  4. Step 4: Simplify right side
    632.61x = 379,408.90
  5. Step 5: Solve for x
    x = 379,408.90/632.61
  6. Step 6: Final answer
    x = 599.75

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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.