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Finding the Fourth Proportional to 448.17, 671.17 and 310.83

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Solution

The fourth proportional to 448.17, 671.17 and 310.83 is: 465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.17 : 671.17 = 310.83 : x
  2. Step 2: Convert to fraction form
    448.17/671.17 = 310.83/x
  3. Step 3: Cross multiply
    448.17x = 671.17 × 310.83
  4. Step 4: Simplify right side
    448.17x = 208,619.77
  5. Step 5: Solve for x
    x = 208,619.77/448.17
  6. Step 6: Final answer
    x = 465.49

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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.