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Finding the Fourth Proportional to 313, 466.72 and 310.21

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Solution

The fourth proportional to 313, 466.72 and 310.21 is: 462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313 : 466.72 = 310.21 : x
  2. Step 2: Convert to fraction form
    313/466.72 = 310.21/x
  3. Step 3: Cross multiply
    313x = 466.72 × 310.21
  4. Step 4: Simplify right side
    313x = 144,781.21
  5. Step 5: Solve for x
    x = 144,781.21/313
  6. Step 6: Final answer
    x = 462.56

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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.