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Finding the Fourth Proportional to 526.70, 790.01 and 197.57

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Solution

The fourth proportional to 526.70, 790.01 and 197.57 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.70 : 790.01 = 197.57 : x
  2. Step 2: Convert to fraction form
    526.70/790.01 = 197.57/x
  3. Step 3: Cross multiply
    526.70x = 790.01 × 197.57
  4. Step 4: Simplify right side
    526.70x = 156,077.34
  5. Step 5: Solve for x
    x = 156,077.34/526.70
  6. Step 6: Final answer
    x = 296.33

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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.