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Finding the Fourth Proportional to 628.34, 867.13 and 362.82

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Solution

The fourth proportional to 628.34, 867.13 and 362.82 is: 500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.34 : 867.13 = 362.82 : x
  2. Step 2: Convert to fraction form
    628.34/867.13 = 362.82/x
  3. Step 3: Cross multiply
    628.34x = 867.13 × 362.82
  4. Step 4: Simplify right side
    628.34x = 314,607.77
  5. Step 5: Solve for x
    x = 314,607.77/628.34
  6. Step 6: Final answer
    x = 500.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.