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Finding the Fourth Proportional to 448.32, 617.97 and 410.65

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Solution

The fourth proportional to 448.32, 617.97 and 410.65 is: 566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 617.97 = 410.65 : x
  2. Step 2: Convert to fraction form
    448.32/617.97 = 410.65/x
  3. Step 3: Cross multiply
    448.32x = 617.97 × 410.65
  4. Step 4: Simplify right side
    448.32x = 253,769.38
  5. Step 5: Solve for x
    x = 253,769.38/448.32
  6. Step 6: Final answer
    x = 566.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.