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Finding the Fourth Proportional to 526, 726.76 and 369.22

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Solution

The fourth proportional to 526, 726.76 and 369.22 is: 510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526 : 726.76 = 369.22 : x
  2. Step 2: Convert to fraction form
    526/726.76 = 369.22/x
  3. Step 3: Cross multiply
    526x = 726.76 × 369.22
  4. Step 4: Simplify right side
    526x = 268,334.33
  5. Step 5: Solve for x
    x = 268,334.33/526
  6. Step 6: Final answer
    x = 510.14

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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.