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Finding the Fourth Proportional to 488.16, 672.32 and 422.64

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Solution

The fourth proportional to 488.16, 672.32 and 422.64 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 672.32 = 422.64 : x
  2. Step 2: Convert to fraction form
    488.16/672.32 = 422.64/x
  3. Step 3: Cross multiply
    488.16x = 672.32 × 422.64
  4. Step 4: Simplify right side
    488.16x = 284,149.32
  5. Step 5: Solve for x
    x = 284,149.32/488.16
  6. Step 6: Final answer
    x = 582.08

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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.