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Finding the Fourth Proportional to 314.26, 468.52 and 310.20

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Solution

The fourth proportional to 314.26, 468.52 and 310.20 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 468.52 = 310.20 : x
  2. Step 2: Convert to fraction form
    314.26/468.52 = 310.20/x
  3. Step 3: Cross multiply
    314.26x = 468.52 × 310.20
  4. Step 4: Simplify right side
    314.26x = 145,334.90
  5. Step 5: Solve for x
    x = 145,334.90/314.26
  6. Step 6: Final answer
    x = 462.47

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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.