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Finding the Fourth Proportional to 507.76, 761.48 and 264.15

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Solution

The fourth proportional to 507.76, 761.48 and 264.15 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 761.48 = 264.15 : x
  2. Step 2: Convert to fraction form
    507.76/761.48 = 264.15/x
  3. Step 3: Cross multiply
    507.76x = 761.48 × 264.15
  4. Step 4: Simplify right side
    507.76x = 201,144.94
  5. Step 5: Solve for x
    x = 201,144.94/507.76
  6. Step 6: Final answer
    x = 396.14

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Why These Related Problems?

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