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Finding the Fourth Proportional to 448.04, 671.95 and 216.79

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Solution

The fourth proportional to 448.04, 671.95 and 216.79 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.04 : 671.95 = 216.79 : x
  2. Step 2: Convert to fraction form
    448.04/671.95 = 216.79/x
  3. Step 3: Cross multiply
    448.04x = 671.95 × 216.79
  4. Step 4: Simplify right side
    448.04x = 145,672.04
  5. Step 5: Solve for x
    x = 145,672.04/448.04
  6. Step 6: Final answer
    x = 325.13

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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.