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Finding the Fourth Proportional to 534.65, 737.89 and 313.69

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Solution

The fourth proportional to 534.65, 737.89 and 313.69 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.65 : 737.89 = 313.69 : x
  2. Step 2: Convert to fraction form
    534.65/737.89 = 313.69/x
  3. Step 3: Cross multiply
    534.65x = 737.89 × 313.69
  4. Step 4: Simplify right side
    534.65x = 231,466.09
  5. Step 5: Solve for x
    x = 231,466.09/534.65
  6. Step 6: Final answer
    x = 432.93

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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.