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Finding the Fourth Proportional to 508.37, 701.64 and 298.56

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Solution

The fourth proportional to 508.37, 701.64 and 298.56 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.37 : 701.64 = 298.56 : x
  2. Step 2: Convert to fraction form
    508.37/701.64 = 298.56/x
  3. Step 3: Cross multiply
    508.37x = 701.64 × 298.56
  4. Step 4: Simplify right side
    508.37x = 209,481.64
  5. Step 5: Solve for x
    x = 209,481.64/508.37
  6. Step 6: Final answer
    x = 412.07

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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.