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Finding the Fourth Proportional to 534.43, 737.61 and 313.34

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Solution

The fourth proportional to 534.43, 737.61 and 313.34 is: 432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.43 : 737.61 = 313.34 : x
  2. Step 2: Convert to fraction form
    534.43/737.61 = 313.34/x
  3. Step 3: Cross multiply
    534.43x = 737.61 × 313.34
  4. Step 4: Simplify right side
    534.43x = 231,117.85
  5. Step 5: Solve for x
    x = 231,117.85/534.43
  6. Step 6: Final answer
    x = 432.46

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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.