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Finding the Fourth Proportional to 526.05, 725.82 and 301.95

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Solution

The fourth proportional to 526.05, 725.82 and 301.95 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.05 : 725.82 = 301.95 : x
  2. Step 2: Convert to fraction form
    526.05/725.82 = 301.95/x
  3. Step 3: Cross multiply
    526.05x = 725.82 × 301.95
  4. Step 4: Simplify right side
    526.05x = 219,161.35
  5. Step 5: Solve for x
    x = 219,161.35/526.05
  6. Step 6: Final answer
    x = 416.62

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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.