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Finding the Fourth Proportional to 507.80, 698.95 and 423.96

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Solution

The fourth proportional to 507.80, 698.95 and 423.96 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.80 : 698.95 = 423.96 : x
  2. Step 2: Convert to fraction form
    507.80/698.95 = 423.96/x
  3. Step 3: Cross multiply
    507.80x = 698.95 × 423.96
  4. Step 4: Simplify right side
    507.80x = 296,324.72
  5. Step 5: Solve for x
    x = 296,324.72/507.80
  6. Step 6: Final answer
    x = 583.55

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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.