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Finding the Fourth Proportional to 352.11, 526.73 and 294.51

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Solution

The fourth proportional to 352.11, 526.73 and 294.51 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.11 : 526.73 = 294.51 : x
  2. Step 2: Convert to fraction form
    352.11/526.73 = 294.51/x
  3. Step 3: Cross multiply
    352.11x = 526.73 × 294.51
  4. Step 4: Simplify right side
    352.11x = 155,125.78
  5. Step 5: Solve for x
    x = 155,125.78/352.11
  6. Step 6: Final answer
    x = 440.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.