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Finding the Fourth Proportional to 387.40, 534.62 and 221.63

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Solution

The fourth proportional to 387.40, 534.62 and 221.63 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 534.62 = 221.63 : x
  2. Step 2: Convert to fraction form
    387.40/534.62 = 221.63/x
  3. Step 3: Cross multiply
    387.40x = 534.62 × 221.63
  4. Step 4: Simplify right side
    387.40x = 118,484.05
  5. Step 5: Solve for x
    x = 118,484.05/387.40
  6. Step 6: Final answer
    x = 305.85

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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.