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Finding the Fourth Proportional to 526.30, 726.48 and 361.06

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Solution

The fourth proportional to 526.30, 726.48 and 361.06 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.30 : 726.48 = 361.06 : x
  2. Step 2: Convert to fraction form
    526.30/726.48 = 361.06/x
  3. Step 3: Cross multiply
    526.30x = 726.48 × 361.06
  4. Step 4: Simplify right side
    526.30x = 262,301.97
  5. Step 5: Solve for x
    x = 262,301.97/526.30
  6. Step 6: Final answer
    x = 498.39

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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.