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Finding the Fourth Proportional to 417.56, 626.74 and 397.31

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Solution

The fourth proportional to 417.56, 626.74 and 397.31 is: 596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 626.74 = 397.31 : x
  2. Step 2: Convert to fraction form
    417.56/626.74 = 397.31/x
  3. Step 3: Cross multiply
    417.56x = 626.74 × 397.31
  4. Step 4: Simplify right side
    417.56x = 249,005.94
  5. Step 5: Solve for x
    x = 249,005.94/417.56
  6. Step 6: Final answer
    x = 596.34

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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.