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Finding the Fourth Proportional to 448.07, 617.74 and 385.77

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Solution

The fourth proportional to 448.07, 617.74 and 385.77 is: 531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.07 : 617.74 = 385.77 : x
  2. Step 2: Convert to fraction form
    448.07/617.74 = 385.77/x
  3. Step 3: Cross multiply
    448.07x = 617.74 × 385.77
  4. Step 4: Simplify right side
    448.07x = 238,304.60
  5. Step 5: Solve for x
    x = 238,304.60/448.07
  6. Step 6: Final answer
    x = 531.84

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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.