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Finding the Fourth Proportional to 526.91, 726.57 and 361.36

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Solution

The fourth proportional to 526.91, 726.57 and 361.36 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.91 : 726.57 = 361.36 : x
  2. Step 2: Convert to fraction form
    526.91/726.57 = 361.36/x
  3. Step 3: Cross multiply
    526.91x = 726.57 × 361.36
  4. Step 4: Simplify right side
    526.91x = 262,554.24
  5. Step 5: Solve for x
    x = 262,554.24/526.91
  6. Step 6: Final answer
    x = 498.30

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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.