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Finding the Fourth Proportional to 626.76, 865.29 and 417.22

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Solution

The fourth proportional to 626.76, 865.29 and 417.22 is: 576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.76 : 865.29 = 417.22 : x
  2. Step 2: Convert to fraction form
    626.76/865.29 = 417.22/x
  3. Step 3: Cross multiply
    626.76x = 865.29 × 417.22
  4. Step 4: Simplify right side
    626.76x = 361,016.29
  5. Step 5: Solve for x
    x = 361,016.29/626.76
  6. Step 6: Final answer
    x = 576.00

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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.