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Finding the Fourth Proportional to 672.97, 1,009.17 and 307.39

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Solution

The fourth proportional to 672.97, 1,009.17 and 307.39 is: 460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.97 : 1,009.17 = 307.39 : x
  2. Step 2: Convert to fraction form
    672.97/1,009.17 = 307.39/x
  3. Step 3: Cross multiply
    672.97x = 1,009.17 × 307.39
  4. Step 4: Simplify right side
    672.97x = 310,208.77
  5. Step 5: Solve for x
    x = 310,208.77/672.97
  6. Step 6: Final answer
    x = 460.95

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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.