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Finding the Fourth Proportional to 526.83, 790.11 and 411.42

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Solution

The fourth proportional to 526.83, 790.11 and 411.42 is: 617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.83 : 790.11 = 411.42 : x
  2. Step 2: Convert to fraction form
    526.83/790.11 = 411.42/x
  3. Step 3: Cross multiply
    526.83x = 790.11 × 411.42
  4. Step 4: Simplify right side
    526.83x = 325,067.06
  5. Step 5: Solve for x
    x = 325,067.06/526.83
  6. Step 6: Final answer
    x = 617.02

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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.