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Finding the Fourth Proportional to 534.63, 737.66 and 301.76

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Solution

The fourth proportional to 534.63, 737.66 and 301.76 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.63 : 737.66 = 301.76 : x
  2. Step 2: Convert to fraction form
    534.63/737.66 = 301.76/x
  3. Step 3: Cross multiply
    534.63x = 737.66 × 301.76
  4. Step 4: Simplify right side
    534.63x = 222,596.28
  5. Step 5: Solve for x
    x = 222,596.28/534.63
  6. Step 6: Final answer
    x = 416.36

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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.