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Finding the Fourth Proportional to 526.94, 725.99 and 433.97

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Solution

The fourth proportional to 526.94, 725.99 and 433.97 is: 597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 725.99 = 433.97 : x
  2. Step 2: Convert to fraction form
    526.94/725.99 = 433.97/x
  3. Step 3: Cross multiply
    526.94x = 725.99 × 433.97
  4. Step 4: Simplify right side
    526.94x = 315,052.08
  5. Step 5: Solve for x
    x = 315,052.08/526.94
  6. Step 6: Final answer
    x = 597.90

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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.