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Finding the Fourth Proportional to 507.96, 701.00 and 298.29

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Solution

The fourth proportional to 507.96, 701.00 and 298.29 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 701.00 = 298.29 : x
  2. Step 2: Convert to fraction form
    507.96/701.00 = 298.29/x
  3. Step 3: Cross multiply
    507.96x = 701.00 × 298.29
  4. Step 4: Simplify right side
    507.96x = 209,102.04
  5. Step 5: Solve for x
    x = 209,102.04/507.96
  6. Step 6: Final answer
    x = 411.65

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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.