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Finding the Fourth Proportional to 632.05, 946.50 and 400.24

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Solution

The fourth proportional to 632.05, 946.50 and 400.24 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.05 : 946.50 = 400.24 : x
  2. Step 2: Convert to fraction form
    632.05/946.50 = 400.24/x
  3. Step 3: Cross multiply
    632.05x = 946.50 × 400.24
  4. Step 4: Simplify right side
    632.05x = 378,827.16
  5. Step 5: Solve for x
    x = 378,827.16/632.05
  6. Step 6: Final answer
    x = 599.36

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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.