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Finding the Fourth Proportional to 507.63, 761.25 and 264.24

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Solution

The fourth proportional to 507.63, 761.25 and 264.24 is: 396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.63 : 761.25 = 264.24 : x
  2. Step 2: Convert to fraction form
    507.63/761.25 = 264.24/x
  3. Step 3: Cross multiply
    507.63x = 761.25 × 264.24
  4. Step 4: Simplify right side
    507.63x = 201,152.70
  5. Step 5: Solve for x
    x = 201,152.70/507.63
  6. Step 6: Final answer
    x = 396.26

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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.