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Finding the Fourth Proportional to 304.32, 456.16 and 213.08

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Solution

The fourth proportional to 304.32, 456.16 and 213.08 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 456.16 = 213.08 : x
  2. Step 2: Convert to fraction form
    304.32/456.16 = 213.08/x
  3. Step 3: Cross multiply
    304.32x = 456.16 × 213.08
  4. Step 4: Simplify right side
    304.32x = 97,198.57
  5. Step 5: Solve for x
    x = 97,198.57/304.32
  6. Step 6: Final answer
    x = 319.40

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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.