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Finding the Fourth Proportional to 525.96, 725.76 and 293.13

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Solution

The fourth proportional to 525.96, 725.76 and 293.13 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.96 : 725.76 = 293.13 : x
  2. Step 2: Convert to fraction form
    525.96/725.76 = 293.13/x
  3. Step 3: Cross multiply
    525.96x = 725.76 × 293.13
  4. Step 4: Simplify right side
    525.96x = 212,742.03
  5. Step 5: Solve for x
    x = 212,742.03/525.96
  6. Step 6: Final answer
    x = 404.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.