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Finding the Fourth Proportional to 534.45, 737.64 and 313.46

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Solution

The fourth proportional to 534.45, 737.64 and 313.46 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.45 : 737.64 = 313.46 : x
  2. Step 2: Convert to fraction form
    534.45/737.64 = 313.46/x
  3. Step 3: Cross multiply
    534.45x = 737.64 × 313.46
  4. Step 4: Simplify right side
    534.45x = 231,216.95
  5. Step 5: Solve for x
    x = 231,216.95/534.45
  6. Step 6: Final answer
    x = 432.63

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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.