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Finding the Fourth Proportional to 507.64, 761.71 and 264.16

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Solution

The fourth proportional to 507.64, 761.71 and 264.16 is: 396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 761.71 = 264.16 : x
  2. Step 2: Convert to fraction form
    507.64/761.71 = 264.16/x
  3. Step 3: Cross multiply
    507.64x = 761.71 × 264.16
  4. Step 4: Simplify right side
    507.64x = 201,213.31
  5. Step 5: Solve for x
    x = 201,213.31/507.64
  6. Step 6: Final answer
    x = 396.37

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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.