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Finding the Fourth Proportional to 448.21, 617.04 and 386.85

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Solution

The fourth proportional to 448.21, 617.04 and 386.85 is: 532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.21 : 617.04 = 386.85 : x
  2. Step 2: Convert to fraction form
    448.21/617.04 = 386.85/x
  3. Step 3: Cross multiply
    448.21x = 617.04 × 386.85
  4. Step 4: Simplify right side
    448.21x = 238,701.92
  5. Step 5: Solve for x
    x = 238,701.92/448.21
  6. Step 6: Final answer
    x = 532.57

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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.