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Finding the Fourth Proportional to 526.72, 726.88 and 293.84

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Solution

The fourth proportional to 526.72, 726.88 and 293.84 is: 405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.72 : 726.88 = 293.84 : x
  2. Step 2: Convert to fraction form
    526.72/726.88 = 293.84/x
  3. Step 3: Cross multiply
    526.72x = 726.88 × 293.84
  4. Step 4: Simplify right side
    526.72x = 213,586.42
  5. Step 5: Solve for x
    x = 213,586.42/526.72
  6. Step 6: Final answer
    x = 405.50

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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.