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Finding the Fourth Proportional to 628.18, 866.69 and 362.58

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Solution

The fourth proportional to 628.18, 866.69 and 362.58 is: 500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.18 : 866.69 = 362.58 : x
  2. Step 2: Convert to fraction form
    628.18/866.69 = 362.58/x
  3. Step 3: Cross multiply
    628.18x = 866.69 × 362.58
  4. Step 4: Simplify right side
    628.18x = 314,248.07
  5. Step 5: Solve for x
    x = 314,248.07/628.18
  6. Step 6: Final answer
    x = 500.25

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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.