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Finding the Fourth Proportional to 600.01, 827.31 and 530.75

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Solution

The fourth proportional to 600.01, 827.31 and 530.75 is: 731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.01 : 827.31 = 530.75 : x
  2. Step 2: Convert to fraction form
    600.01/827.31 = 530.75/x
  3. Step 3: Cross multiply
    600.01x = 827.31 × 530.75
  4. Step 4: Simplify right side
    600.01x = 439,098.84
  5. Step 5: Solve for x
    x = 439,098.84/600.01
  6. Step 6: Final answer
    x = 731.82

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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.