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Finding the Fourth Proportional to 534.67, 737.88 and 313.63

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Solution

The fourth proportional to 534.67, 737.88 and 313.63 is: 432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.67 : 737.88 = 313.63 : x
  2. Step 2: Convert to fraction form
    534.67/737.88 = 313.63/x
  3. Step 3: Cross multiply
    534.67x = 737.88 × 313.63
  4. Step 4: Simplify right side
    534.67x = 231,421.30
  5. Step 5: Solve for x
    x = 231,421.30/534.67
  6. Step 6: Final answer
    x = 432.83

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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.