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Finding the Fourth Proportional to 488.10, 672.03 and 414.30

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Solution

The fourth proportional to 488.10, 672.03 and 414.30 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.10 : 672.03 = 414.30 : x
  2. Step 2: Convert to fraction form
    488.10/672.03 = 414.30/x
  3. Step 3: Cross multiply
    488.10x = 672.03 × 414.30
  4. Step 4: Simplify right side
    488.10x = 278,422.03
  5. Step 5: Solve for x
    x = 278,422.03/488.10
  6. Step 6: Final answer
    x = 570.42

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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.