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Finding the Fourth Proportional to 672.66, 1,009.08 and 307.56

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Solution

The fourth proportional to 672.66, 1,009.08 and 307.56 is: 461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.66 : 1,009.08 = 307.56 : x
  2. Step 2: Convert to fraction form
    672.66/1,009.08 = 307.56/x
  3. Step 3: Cross multiply
    672.66x = 1,009.08 × 307.56
  4. Step 4: Simplify right side
    672.66x = 310,352.64
  5. Step 5: Solve for x
    x = 310,352.64/672.66
  6. Step 6: Final answer
    x = 461.38

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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.