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Finding the Fourth Proportional to 507.79, 761.41 and 345.66

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Solution

The fourth proportional to 507.79, 761.41 and 345.66 is: 518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.79 : 761.41 = 345.66 : x
  2. Step 2: Convert to fraction form
    507.79/761.41 = 345.66/x
  3. Step 3: Cross multiply
    507.79x = 761.41 × 345.66
  4. Step 4: Simplify right side
    507.79x = 263,188.98
  5. Step 5: Solve for x
    x = 263,188.98/507.79
  6. Step 6: Final answer
    x = 518.30

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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.