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Finding the Fourth Proportional to 507.16, 759.66 and 342.07

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Solution

The fourth proportional to 507.16, 759.66 and 342.07 is: 512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 759.66 = 342.07 : x
  2. Step 2: Convert to fraction form
    507.16/759.66 = 342.07/x
  3. Step 3: Cross multiply
    507.16x = 759.66 × 342.07
  4. Step 4: Simplify right side
    507.16x = 259,856.90
  5. Step 5: Solve for x
    x = 259,856.90/507.16
  6. Step 6: Final answer
    x = 512.38

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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.