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Finding the Fourth Proportional to 448.07, 672.92 and 311.79

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Solution

The fourth proportional to 448.07, 672.92 and 311.79 is: 468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.07 : 672.92 = 311.79 : x
  2. Step 2: Convert to fraction form
    448.07/672.92 = 311.79/x
  3. Step 3: Cross multiply
    448.07x = 672.92 × 311.79
  4. Step 4: Simplify right side
    448.07x = 209,810.51
  5. Step 5: Solve for x
    x = 209,810.51/448.07
  6. Step 6: Final answer
    x = 468.25

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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.