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Finding the Fourth Proportional to 506.57, 697.91 and 382.05

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Solution

The fourth proportional to 506.57, 697.91 and 382.05 is: 526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 697.91 = 382.05 : x
  2. Step 2: Convert to fraction form
    506.57/697.91 = 382.05/x
  3. Step 3: Cross multiply
    506.57x = 697.91 × 382.05
  4. Step 4: Simplify right side
    506.57x = 266,634.61
  5. Step 5: Solve for x
    x = 266,634.61/506.57
  6. Step 6: Final answer
    x = 526.36

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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.