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Finding the Fourth Proportional to 525.94, 725.82 and 293.08

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Solution

The fourth proportional to 525.94, 725.82 and 293.08 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.94 : 725.82 = 293.08 : x
  2. Step 2: Convert to fraction form
    525.94/725.82 = 293.08/x
  3. Step 3: Cross multiply
    525.94x = 725.82 × 293.08
  4. Step 4: Simplify right side
    525.94x = 212,723.33
  5. Step 5: Solve for x
    x = 212,723.33/525.94
  6. Step 6: Final answer
    x = 404.46

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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.