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Finding the Fourth Proportional to 525.87, 725.70 and 293.00

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Solution

The fourth proportional to 525.87, 725.70 and 293.00 is: 404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 725.70 = 293.00 : x
  2. Step 2: Convert to fraction form
    525.87/725.70 = 293.00/x
  3. Step 3: Cross multiply
    525.87x = 725.70 × 293.00
  4. Step 4: Simplify right side
    525.87x = 212,626.47
  5. Step 5: Solve for x
    x = 212,626.47/525.87
  6. Step 6: Final answer
    x = 404.33

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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.