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Finding the Fourth Proportional to 505.86, 698.33 and 381.57

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Solution

The fourth proportional to 505.86, 698.33 and 381.57 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 698.33 = 381.57 : x
  2. Step 2: Convert to fraction form
    505.86/698.33 = 381.57/x
  3. Step 3: Cross multiply
    505.86x = 698.33 × 381.57
  4. Step 4: Simplify right side
    505.86x = 266,456.38
  5. Step 5: Solve for x
    x = 266,456.38/505.86
  6. Step 6: Final answer
    x = 526.74

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Why These Related Problems?

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