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Finding the Fourth Proportional to 547.01, 754.62 and 314

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Solution

The fourth proportional to 547.01, 754.62 and 314 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.01 : 754.62 = 314 : x
  2. Step 2: Convert to fraction form
    547.01/754.62 = 314/x
  3. Step 3: Cross multiply
    547.01x = 754.62 × 314
  4. Step 4: Simplify right side
    547.01x = 236,950.68
  5. Step 5: Solve for x
    x = 236,950.68/547.01
  6. Step 6: Final answer
    x = 433.17

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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.