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Finding the Fourth Proportional to 534.07, 737.01 and 313.14

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Solution

The fourth proportional to 534.07, 737.01 and 313.14 is: 432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.07 : 737.01 = 313.14 : x
  2. Step 2: Convert to fraction form
    534.07/737.01 = 313.14/x
  3. Step 3: Cross multiply
    534.07x = 737.01 × 313.14
  4. Step 4: Simplify right side
    534.07x = 230,787.31
  5. Step 5: Solve for x
    x = 230,787.31/534.07
  6. Step 6: Final answer
    x = 432.13

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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.