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Finding the Fourth Proportional to 645.42, 890.82 and 448.86

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Solution

The fourth proportional to 645.42, 890.82 and 448.86 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 890.82 = 448.86 : x
  2. Step 2: Convert to fraction form
    645.42/890.82 = 448.86/x
  3. Step 3: Cross multiply
    645.42x = 890.82 × 448.86
  4. Step 4: Simplify right side
    645.42x = 399,853.47
  5. Step 5: Solve for x
    x = 399,853.47/645.42
  6. Step 6: Final answer
    x = 619.52

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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.