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Finding the Fourth Proportional to 448.30, 672.75 and 411.24

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Solution

The fourth proportional to 448.30, 672.75 and 411.24 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.30 : 672.75 = 411.24 : x
  2. Step 2: Convert to fraction form
    448.30/672.75 = 411.24/x
  3. Step 3: Cross multiply
    448.30x = 672.75 × 411.24
  4. Step 4: Simplify right side
    448.30x = 276,661.71
  5. Step 5: Solve for x
    x = 276,661.71/448.30
  6. Step 6: Final answer
    x = 617.14

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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.