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Finding the Fourth Proportional to 632, 946.08 and 424.94

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Solution

The fourth proportional to 632, 946.08 and 424.94 is: 636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    632 : 946.08 = 424.94 : x
  2. Step 2: Convert to fraction form
    632/946.08 = 424.94/x
  3. Step 3: Cross multiply
    632x = 946.08 × 424.94
  4. Step 4: Simplify right side
    632x = 402,027.24
  5. Step 5: Solve for x
    x = 402,027.24/632
  6. Step 6: Final answer
    x = 636.12

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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.