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Finding the Fourth Proportional to 526.60, 725.82 and 377.22

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Solution

The fourth proportional to 526.60, 725.82 and 377.22 is: 519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.60 : 725.82 = 377.22 : x
  2. Step 2: Convert to fraction form
    526.60/725.82 = 377.22/x
  3. Step 3: Cross multiply
    526.60x = 725.82 × 377.22
  4. Step 4: Simplify right side
    526.60x = 273,793.82
  5. Step 5: Solve for x
    x = 273,793.82/526.60
  6. Step 6: Final answer
    x = 519.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.