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Finding the Fourth Proportional to 448.16, 672.28 and 217.10

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Solution

The fourth proportional to 448.16, 672.28 and 217.10 is: 325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.16 : 672.28 = 217.10 : x
  2. Step 2: Convert to fraction form
    448.16/672.28 = 217.10/x
  3. Step 3: Cross multiply
    448.16x = 672.28 × 217.10
  4. Step 4: Simplify right side
    448.16x = 145,953.13
  5. Step 5: Solve for x
    x = 145,953.13/448.16
  6. Step 6: Final answer
    x = 325.68

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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.