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Finding the Fourth Proportional to 526.56, 726.40 and 378.94

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Solution

The fourth proportional to 526.56, 726.40 and 378.94 is: 522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 726.40 = 378.94 : x
  2. Step 2: Convert to fraction form
    526.56/726.40 = 378.94/x
  3. Step 3: Cross multiply
    526.56x = 726.40 × 378.94
  4. Step 4: Simplify right side
    526.56x = 275,262.02
  5. Step 5: Solve for x
    x = 275,262.02/526.56
  6. Step 6: Final answer
    x = 522.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.