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Finding the Fourth Proportional to 309.48, 464.10 and 213.32

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Solution

The fourth proportional to 309.48, 464.10 and 213.32 is: 319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 464.10 = 213.32 : x
  2. Step 2: Convert to fraction form
    309.48/464.10 = 213.32/x
  3. Step 3: Cross multiply
    309.48x = 464.10 × 213.32
  4. Step 4: Simplify right side
    309.48x = 99,001.81
  5. Step 5: Solve for x
    x = 99,001.81/309.48
  6. Step 6: Final answer
    x = 319.90

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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.