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Finding the Fourth Proportional to 507.76, 699.51 and 418.66

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Solution

The fourth proportional to 507.76, 699.51 and 418.66 is: 576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 699.51 = 418.66 : x
  2. Step 2: Convert to fraction form
    507.76/699.51 = 418.66/x
  3. Step 3: Cross multiply
    507.76x = 699.51 × 418.66
  4. Step 4: Simplify right side
    507.76x = 292,856.86
  5. Step 5: Solve for x
    x = 292,856.86/507.76
  6. Step 6: Final answer
    x = 576.76

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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.