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Finding the Fourth Proportional to 507.13, 760.33 and 342.19

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Solution

The fourth proportional to 507.13, 760.33 and 342.19 is: 513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.13 : 760.33 = 342.19 : x
  2. Step 2: Convert to fraction form
    507.13/760.33 = 342.19/x
  3. Step 3: Cross multiply
    507.13x = 760.33 × 342.19
  4. Step 4: Simplify right side
    507.13x = 260,175.61
  5. Step 5: Solve for x
    x = 260,175.61/507.13
  6. Step 6: Final answer
    x = 513.04

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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.