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Finding the Fourth Proportional to 672.66, 1,009.28 and 348.25

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Solution

The fourth proportional to 672.66, 1,009.28 and 348.25 is: 522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.66 : 1,009.28 = 348.25 : x
  2. Step 2: Convert to fraction form
    672.66/1,009.28 = 348.25/x
  3. Step 3: Cross multiply
    672.66x = 1,009.28 × 348.25
  4. Step 4: Simplify right side
    672.66x = 351,481.76
  5. Step 5: Solve for x
    x = 351,481.76/672.66
  6. Step 6: Final answer
    x = 522.53

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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.