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Finding the Fourth Proportional to 447.50, 616.93 and 314.55

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Solution

The fourth proportional to 447.50, 616.93 and 314.55 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 616.93 = 314.55 : x
  2. Step 2: Convert to fraction form
    447.50/616.93 = 314.55/x
  3. Step 3: Cross multiply
    447.50x = 616.93 × 314.55
  4. Step 4: Simplify right side
    447.50x = 194,054.55
  5. Step 5: Solve for x
    x = 194,054.55/447.50
  6. Step 6: Final answer
    x = 433.64

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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.