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Finding the Fourth Proportional to 526.27, 726.44 and 361.03

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Solution

The fourth proportional to 526.27, 726.44 and 361.03 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 726.44 = 361.03 : x
  2. Step 2: Convert to fraction form
    526.27/726.44 = 361.03/x
  3. Step 3: Cross multiply
    526.27x = 726.44 × 361.03
  4. Step 4: Simplify right side
    526.27x = 262,264.83
  5. Step 5: Solve for x
    x = 262,264.83/526.27
  6. Step 6: Final answer
    x = 498.35

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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.