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Finding the Fourth Proportional to 534.83, 737.93 and 310.69

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Solution

The fourth proportional to 534.83, 737.93 and 310.69 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.83 : 737.93 = 310.69 : x
  2. Step 2: Convert to fraction form
    534.83/737.93 = 310.69/x
  3. Step 3: Cross multiply
    534.83x = 737.93 × 310.69
  4. Step 4: Simplify right side
    534.83x = 229,262.23
  5. Step 5: Solve for x
    x = 229,262.23/534.83
  6. Step 6: Final answer
    x = 428.66

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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.