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Finding the Fourth Proportional to 526.22, 726.20 and 305.29

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Solution

The fourth proportional to 526.22, 726.20 and 305.29 is: 421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.22 : 726.20 = 305.29 : x
  2. Step 2: Convert to fraction form
    526.22/726.20 = 305.29/x
  3. Step 3: Cross multiply
    526.22x = 726.20 × 305.29
  4. Step 4: Simplify right side
    526.22x = 221,701.60
  5. Step 5: Solve for x
    x = 221,701.60/526.22
  6. Step 6: Final answer
    x = 421.31

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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.