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Finding the Fourth Proportional to 526.76, 726.96 and 305.73

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Solution

The fourth proportional to 526.76, 726.96 and 305.73 is: 421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.76 : 726.96 = 305.73 : x
  2. Step 2: Convert to fraction form
    526.76/726.96 = 305.73/x
  3. Step 3: Cross multiply
    526.76x = 726.96 × 305.73
  4. Step 4: Simplify right side
    526.76x = 222,253.48
  5. Step 5: Solve for x
    x = 222,253.48/526.76
  6. Step 6: Final answer
    x = 421.93

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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.