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Finding the Fourth Proportional to 507.91, 700.84 and 298.12

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Solution

The fourth proportional to 507.91, 700.84 and 298.12 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.91 : 700.84 = 298.12 : x
  2. Step 2: Convert to fraction form
    507.91/700.84 = 298.12/x
  3. Step 3: Cross multiply
    507.91x = 700.84 × 298.12
  4. Step 4: Simplify right side
    507.91x = 208,929.43
  5. Step 5: Solve for x
    x = 208,929.43/507.91
  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.