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Finding the Fourth Proportional to 534.69, 737.67 and 313.56

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Solution

The fourth proportional to 534.69, 737.67 and 313.56 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.69 : 737.67 = 313.56 : x
  2. Step 2: Convert to fraction form
    534.69/737.67 = 313.56/x
  3. Step 3: Cross multiply
    534.69x = 737.67 × 313.56
  4. Step 4: Simplify right side
    534.69x = 231,303.81
  5. Step 5: Solve for x
    x = 231,303.81/534.69
  6. Step 6: Final answer
    x = 432.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.