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Finding the Fourth Proportional to 319.08, 475.80 and 310.89

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Solution

The fourth proportional to 319.08, 475.80 and 310.89 is: 463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.08 : 475.80 = 310.89 : x
  2. Step 2: Convert to fraction form
    319.08/475.80 = 310.89/x
  3. Step 3: Cross multiply
    319.08x = 475.80 × 310.89
  4. Step 4: Simplify right side
    319.08x = 147,921.46
  5. Step 5: Solve for x
    x = 147,921.46/319.08
  6. Step 6: Final answer
    x = 463.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.