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Finding the Fourth Proportional to 534.65, 737.74 and 313.67

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Solution

The fourth proportional to 534.65, 737.74 and 313.67 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.65 : 737.74 = 313.67 : x
  2. Step 2: Convert to fraction form
    534.65/737.74 = 313.67/x
  3. Step 3: Cross multiply
    534.65x = 737.74 × 313.67
  4. Step 4: Simplify right side
    534.65x = 231,406.91
  5. Step 5: Solve for x
    x = 231,406.91/534.65
  6. Step 6: Final answer
    x = 432.82

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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.