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Finding the Fourth Proportional to 507.72, 761.82 and 230.25

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Solution

The fourth proportional to 507.72, 761.82 and 230.25 is: 345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.72 : 761.82 = 230.25 : x
  2. Step 2: Convert to fraction form
    507.72/761.82 = 230.25/x
  3. Step 3: Cross multiply
    507.72x = 761.82 × 230.25
  4. Step 4: Simplify right side
    507.72x = 175,409.06
  5. Step 5: Solve for x
    x = 175,409.06/507.72
  6. Step 6: Final answer
    x = 345.48

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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.