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Finding the Fourth Proportional to 465.05, 638.59 and 415.91

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Solution

The fourth proportional to 465.05, 638.59 and 415.91 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.05 : 638.59 = 415.91 : x
  2. Step 2: Convert to fraction form
    465.05/638.59 = 415.91/x
  3. Step 3: Cross multiply
    465.05x = 638.59 × 415.91
  4. Step 4: Simplify right side
    465.05x = 265,593.29
  5. Step 5: Solve for x
    x = 265,593.29/465.05
  6. Step 6: Final answer
    x = 571.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.