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Finding the Fourth Proportional to 507.49, 699.78 and 320.77

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Solution

The fourth proportional to 507.49, 699.78 and 320.77 is: 442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.49 : 699.78 = 320.77 : x
  2. Step 2: Convert to fraction form
    507.49/699.78 = 320.77/x
  3. Step 3: Cross multiply
    507.49x = 699.78 × 320.77
  4. Step 4: Simplify right side
    507.49x = 224,468.43
  5. Step 5: Solve for x
    x = 224,468.43/507.49
  6. Step 6: Final answer
    x = 442.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.