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Finding the Fourth Proportional to 488.86, 674.84 and 312.06

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Solution

The fourth proportional to 488.86, 674.84 and 312.06 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.86 : 674.84 = 312.06 : x
  2. Step 2: Convert to fraction form
    488.86/674.84 = 312.06/x
  3. Step 3: Cross multiply
    488.86x = 674.84 × 312.06
  4. Step 4: Simplify right side
    488.86x = 210,591.35
  5. Step 5: Solve for x
    x = 210,591.35/488.86
  6. Step 6: Final answer
    x = 430.78

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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.