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Finding the Fourth Proportional to 526.59, 726.84 and 361.22

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Solution

The fourth proportional to 526.59, 726.84 and 361.22 is: 498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.59 : 726.84 = 361.22 : x
  2. Step 2: Convert to fraction form
    526.59/726.84 = 361.22/x
  3. Step 3: Cross multiply
    526.59x = 726.84 × 361.22
  4. Step 4: Simplify right side
    526.59x = 262,545.51
  5. Step 5: Solve for x
    x = 262,545.51/526.59
  6. Step 6: Final answer
    x = 498.58

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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.