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Finding the Fourth Proportional to 507.60, 698.82 and 383.10

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Solution

The fourth proportional to 507.60, 698.82 and 383.10 is: 527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 698.82 = 383.10 : x
  2. Step 2: Convert to fraction form
    507.60/698.82 = 383.10/x
  3. Step 3: Cross multiply
    507.60x = 698.82 × 383.10
  4. Step 4: Simplify right side
    507.60x = 267,717.94
  5. Step 5: Solve for x
    x = 267,717.94/507.60
  6. Step 6: Final answer
    x = 527.42

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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.