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Finding the Fourth Proportional to 526.24, 726.86 and 361.00

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Solution

The fourth proportional to 526.24, 726.86 and 361.00 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 726.86 = 361.00 : x
  2. Step 2: Convert to fraction form
    526.24/726.86 = 361.00/x
  3. Step 3: Cross multiply
    526.24x = 726.86 × 361.00
  4. Step 4: Simplify right side
    526.24x = 262,396.24
  5. Step 5: Solve for x
    x = 262,396.24/526.24
  6. Step 6: Final answer
    x = 498.62

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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.