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Finding the Fourth Proportional to 310.56, 468.15 and 306.24

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Solution

The fourth proportional to 310.56, 468.15 and 306.24 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 468.15 = 306.24 : x
  2. Step 2: Convert to fraction form
    310.56/468.15 = 306.24/x
  3. Step 3: Cross multiply
    310.56x = 468.15 × 306.24
  4. Step 4: Simplify right side
    310.56x = 143,366.26
  5. Step 5: Solve for x
    x = 143,366.26/310.56
  6. Step 6: Final answer
    x = 461.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.