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Finding the Fourth Proportional to 525.44, 725.02 and 292.57

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Solution

The fourth proportional to 525.44, 725.02 and 292.57 is: 403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 725.02 = 292.57 : x
  2. Step 2: Convert to fraction form
    525.44/725.02 = 292.57/x
  3. Step 3: Cross multiply
    525.44x = 725.02 × 292.57
  4. Step 4: Simplify right side
    525.44x = 212,119.10
  5. Step 5: Solve for x
    x = 212,119.10/525.44
  6. Step 6: Final answer
    x = 403.70

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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.