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Finding the Fourth Proportional to 507.96, 700.99 and 286.98

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Solution

The fourth proportional to 507.96, 700.99 and 286.98 is: 396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 700.99 = 286.98 : x
  2. Step 2: Convert to fraction form
    507.96/700.99 = 286.98/x
  3. Step 3: Cross multiply
    507.96x = 700.99 × 286.98
  4. Step 4: Simplify right side
    507.96x = 201,170.11
  5. Step 5: Solve for x
    x = 201,170.11/507.96
  6. Step 6: Final answer
    x = 396.04

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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.