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Finding the Fourth Proportional to 502.57, 693.98 and 418.84

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Solution

The fourth proportional to 502.57, 693.98 and 418.84 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.57 : 693.98 = 418.84 : x
  2. Step 2: Convert to fraction form
    502.57/693.98 = 418.84/x
  3. Step 3: Cross multiply
    502.57x = 693.98 × 418.84
  4. Step 4: Simplify right side
    502.57x = 290,666.58
  5. Step 5: Solve for x
    x = 290,666.58/502.57
  6. Step 6: Final answer
    x = 578.36

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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.