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Finding the Fourth Proportional to 526, 725.91 and 293.14

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Solution

The fourth proportional to 526, 725.91 and 293.14 is: 404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526 : 725.91 = 293.14 : x
  2. Step 2: Convert to fraction form
    526/725.91 = 293.14/x
  3. Step 3: Cross multiply
    526x = 725.91 × 293.14
  4. Step 4: Simplify right side
    526x = 212,793.26
  5. Step 5: Solve for x
    x = 212,793.26/526
  6. Step 6: Final answer
    x = 404.55

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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.