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Finding the Fourth Proportional to 469.21, 647.60 and 272.77

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Solution

The fourth proportional to 469.21, 647.60 and 272.77 is: 376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.21 : 647.60 = 272.77 : x
  2. Step 2: Convert to fraction form
    469.21/647.60 = 272.77/x
  3. Step 3: Cross multiply
    469.21x = 647.60 × 272.77
  4. Step 4: Simplify right side
    469.21x = 176,645.85
  5. Step 5: Solve for x
    x = 176,645.85/469.21
  6. Step 6: Final answer
    x = 376.48

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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.