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Finding the Fourth Proportional to 488.06, 672.93 and 313.23

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Solution

The fourth proportional to 488.06, 672.93 and 313.23 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.06 : 672.93 = 313.23 : x
  2. Step 2: Convert to fraction form
    488.06/672.93 = 313.23/x
  3. Step 3: Cross multiply
    488.06x = 672.93 × 313.23
  4. Step 4: Simplify right side
    488.06x = 210,781.86
  5. Step 5: Solve for x
    x = 210,781.86/488.06
  6. Step 6: Final answer
    x = 431.88

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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.