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Finding the Fourth Proportional to 632.12, 946.96 and 307.72

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Solution

The fourth proportional to 632.12, 946.96 and 307.72 is: 460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.12 : 946.96 = 307.72 : x
  2. Step 2: Convert to fraction form
    632.12/946.96 = 307.72/x
  3. Step 3: Cross multiply
    632.12x = 946.96 × 307.72
  4. Step 4: Simplify right side
    632.12x = 291,398.53
  5. Step 5: Solve for x
    x = 291,398.53/632.12
  6. Step 6: Final answer
    x = 460.99

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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.