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Finding the Fourth Proportional to 506.63, 760 and 462.09

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Solution

The fourth proportional to 506.63, 760 and 462.09 is: 693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 760 = 462.09 : x
  2. Step 2: Convert to fraction form
    506.63/760 = 462.09/x
  3. Step 3: Cross multiply
    506.63x = 760 × 462.09
  4. Step 4: Simplify right side
    506.63x = 351,188.40
  5. Step 5: Solve for x
    x = 351,188.40/506.63
  6. Step 6: Final answer
    x = 693.19

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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.