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Finding the Fourth Proportional to 453.06, 679.86 and 417.42

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Solution

The fourth proportional to 453.06, 679.86 and 417.42 is: 626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.06 : 679.86 = 417.42 : x
  2. Step 2: Convert to fraction form
    453.06/679.86 = 417.42/x
  3. Step 3: Cross multiply
    453.06x = 679.86 × 417.42
  4. Step 4: Simplify right side
    453.06x = 283,787.16
  5. Step 5: Solve for x
    x = 283,787.16/453.06
  6. Step 6: Final answer
    x = 626.38

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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.