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Finding the Fourth Proportional to 488.19, 672.12 and 414.48

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Solution

The fourth proportional to 488.19, 672.12 and 414.48 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.19 : 672.12 = 414.48 : x
  2. Step 2: Convert to fraction form
    488.19/672.12 = 414.48/x
  3. Step 3: Cross multiply
    488.19x = 672.12 × 414.48
  4. Step 4: Simplify right side
    488.19x = 278,580.30
  5. Step 5: Solve for x
    x = 278,580.30/488.19
  6. Step 6: Final answer
    x = 570.64

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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.