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Finding the Fourth Proportional to 507.98, 762.39 and 264.58

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Solution

The fourth proportional to 507.98, 762.39 and 264.58 is: 397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 762.39 = 264.58 : x
  2. Step 2: Convert to fraction form
    507.98/762.39 = 264.58/x
  3. Step 3: Cross multiply
    507.98x = 762.39 × 264.58
  4. Step 4: Simplify right side
    507.98x = 201,711.24
  5. Step 5: Solve for x
    x = 201,711.24/507.98
  6. Step 6: Final answer
    x = 397.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.