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Finding the Fourth Proportional to 526.73, 790.02 and 180.05

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Solution

The fourth proportional to 526.73, 790.02 and 180.05 is: 270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.73 : 790.02 = 180.05 : x
  2. Step 2: Convert to fraction form
    526.73/790.02 = 180.05/x
  3. Step 3: Cross multiply
    526.73x = 790.02 × 180.05
  4. Step 4: Simplify right side
    526.73x = 142,243.10
  5. Step 5: Solve for x
    x = 142,243.10/526.73
  6. Step 6: Final answer
    x = 270.05

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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.