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Finding the Fourth Proportional to 526.28, 726.26 and 290.22

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Solution

The fourth proportional to 526.28, 726.26 and 290.22 is: 400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.28 : 726.26 = 290.22 : x
  2. Step 2: Convert to fraction form
    526.28/726.26 = 290.22/x
  3. Step 3: Cross multiply
    526.28x = 726.26 × 290.22
  4. Step 4: Simplify right side
    526.28x = 210,775.18
  5. Step 5: Solve for x
    x = 210,775.18/526.28
  6. Step 6: Final answer
    x = 400.50

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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.