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Finding the Fourth Proportional to 309.56, 464.01 and 275.13

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Solution

The fourth proportional to 309.56, 464.01 and 275.13 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 464.01 = 275.13 : x
  2. Step 2: Convert to fraction form
    309.56/464.01 = 275.13/x
  3. Step 3: Cross multiply
    309.56x = 464.01 × 275.13
  4. Step 4: Simplify right side
    309.56x = 127,663.07
  5. Step 5: Solve for x
    x = 127,663.07/309.56
  6. Step 6: Final answer
    x = 412.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.