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Finding the Fourth Proportional to 526.12, 726.03 and 293.24

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Solution

The fourth proportional to 526.12, 726.03 and 293.24 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.12 : 726.03 = 293.24 : x
  2. Step 2: Convert to fraction form
    526.12/726.03 = 293.24/x
  3. Step 3: Cross multiply
    526.12x = 726.03 × 293.24
  4. Step 4: Simplify right side
    526.12x = 212,901.04
  5. Step 5: Solve for x
    x = 212,901.04/526.12
  6. Step 6: Final answer
    x = 404.66

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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.