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Finding the Fourth Proportional to 507.30, 699.48 and 320.55

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Solution

The fourth proportional to 507.30, 699.48 and 320.55 is: 441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.30 : 699.48 = 320.55 : x
  2. Step 2: Convert to fraction form
    507.30/699.48 = 320.55/x
  3. Step 3: Cross multiply
    507.30x = 699.48 × 320.55
  4. Step 4: Simplify right side
    507.30x = 224,218.31
  5. Step 5: Solve for x
    x = 224,218.31/507.30
  6. Step 6: Final answer
    x = 441.98

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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.