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Finding the Fourth Proportional to 526.78, 726.82 and 305.72

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Solution

The fourth proportional to 526.78, 726.82 and 305.72 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 726.82 = 305.72 : x
  2. Step 2: Convert to fraction form
    526.78/726.82 = 305.72/x
  3. Step 3: Cross multiply
    526.78x = 726.82 × 305.72
  4. Step 4: Simplify right side
    526.78x = 222,203.41
  5. Step 5: Solve for x
    x = 222,203.41/526.78
  6. Step 6: Final answer
    x = 421.81

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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.