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Finding the Fourth Proportional to 526.68, 726.81 and 305.55

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Solution

The fourth proportional to 526.68, 726.81 and 305.55 is: 421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 726.81 = 305.55 : x
  2. Step 2: Convert to fraction form
    526.68/726.81 = 305.55/x
  3. Step 3: Cross multiply
    526.68x = 726.81 × 305.55
  4. Step 4: Simplify right side
    526.68x = 222,076.80
  5. Step 5: Solve for x
    x = 222,076.80/526.68
  6. Step 6: Final answer
    x = 421.65

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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.