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Finding the Fourth Proportional to 448.32, 672.20 and 304.14

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Solution

The fourth proportional to 448.32, 672.20 and 304.14 is: 456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 672.20 = 304.14 : x
  2. Step 2: Convert to fraction form
    448.32/672.20 = 304.14/x
  3. Step 3: Cross multiply
    448.32x = 672.20 × 304.14
  4. Step 4: Simplify right side
    448.32x = 204,442.91
  5. Step 5: Solve for x
    x = 204,442.91/448.32
  6. Step 6: Final answer
    x = 456.02

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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.