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Finding the Fourth Proportional to 507.96, 699.20 and 438.24

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Solution

The fourth proportional to 507.96, 699.20 and 438.24 is: 603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 699.20 = 438.24 : x
  2. Step 2: Convert to fraction form
    507.96/699.20 = 438.24/x
  3. Step 3: Cross multiply
    507.96x = 699.20 × 438.24
  4. Step 4: Simplify right side
    507.96x = 306,417.41
  5. Step 5: Solve for x
    x = 306,417.41/507.96
  6. Step 6: Final answer
    x = 603.23

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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.