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Finding the Fourth Proportional to 508.96, 701.77 and 376.37

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Solution

The fourth proportional to 508.96, 701.77 and 376.37 is: 518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 701.77 = 376.37 : x
  2. Step 2: Convert to fraction form
    508.96/701.77 = 376.37/x
  3. Step 3: Cross multiply
    508.96x = 701.77 × 376.37
  4. Step 4: Simplify right side
    508.96x = 264,125.17
  5. Step 5: Solve for x
    x = 264,125.17/508.96
  6. Step 6: Final answer
    x = 518.95

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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.