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Finding the Fourth Proportional to 632.13, 946.16 and 338.89

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Solution

The fourth proportional to 632.13, 946.16 and 338.89 is: 507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.13 : 946.16 = 338.89 : x
  2. Step 2: Convert to fraction form
    632.13/946.16 = 338.89/x
  3. Step 3: Cross multiply
    632.13x = 946.16 × 338.89
  4. Step 4: Simplify right side
    632.13x = 320,644.16
  5. Step 5: Solve for x
    x = 320,644.16/632.13
  6. Step 6: Final answer
    x = 507.24

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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.