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Finding the Fourth Proportional to 632.54, 946.68 and 389.24

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Solution

The fourth proportional to 632.54, 946.68 and 389.24 is: 582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.54 : 946.68 = 389.24 : x
  2. Step 2: Convert to fraction form
    632.54/946.68 = 389.24/x
  3. Step 3: Cross multiply
    632.54x = 946.68 × 389.24
  4. Step 4: Simplify right side
    632.54x = 368,485.72
  5. Step 5: Solve for x
    x = 368,485.72/632.54
  6. Step 6: Final answer
    x = 582.55

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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.