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Finding the Fourth Proportional to 488.65, 674.33 and 314.00

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Solution

The fourth proportional to 488.65, 674.33 and 314.00 is: 433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.65 : 674.33 = 314.00 : x
  2. Step 2: Convert to fraction form
    488.65/674.33 = 314.00/x
  3. Step 3: Cross multiply
    488.65x = 674.33 × 314.00
  4. Step 4: Simplify right side
    488.65x = 211,737.03
  5. Step 5: Solve for x
    x = 211,737.03/488.65
  6. Step 6: Final answer
    x = 433.31

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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.