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Finding the Fourth Proportional to 534.60, 737.82 and 313.62

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Solution

The fourth proportional to 534.60, 737.82 and 313.62 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.60 : 737.82 = 313.62 : x
  2. Step 2: Convert to fraction form
    534.60/737.82 = 313.62/x
  3. Step 3: Cross multiply
    534.60x = 737.82 × 313.62
  4. Step 4: Simplify right side
    534.60x = 231,395.11
  5. Step 5: Solve for x
    x = 231,395.11/534.60
  6. Step 6: Final answer
    x = 432.84

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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.