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Finding the Fourth Proportional to 507.92, 700.86 and 298.12

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Solution

The fourth proportional to 507.92, 700.86 and 298.12 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.92 : 700.86 = 298.12 : x
  2. Step 2: Convert to fraction form
    507.92/700.86 = 298.12/x
  3. Step 3: Cross multiply
    507.92x = 700.86 × 298.12
  4. Step 4: Simplify right side
    507.92x = 208,940.38
  5. Step 5: Solve for x
    x = 208,940.38/507.92
  6. Step 6: Final answer
    x = 411.36

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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.