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Finding the Fourth Proportional to 672.31, 1,009.01 and 347.77

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Solution

The fourth proportional to 672.31, 1,009.01 and 347.77 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.31 : 1,009.01 = 347.77 : x
  2. Step 2: Convert to fraction form
    672.31/1,009.01 = 347.77/x
  3. Step 3: Cross multiply
    672.31x = 1,009.01 × 347.77
  4. Step 4: Simplify right side
    672.31x = 350,903.41
  5. Step 5: Solve for x
    x = 350,903.41/672.31
  6. Step 6: Final answer
    x = 521.94

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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.