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Finding the Fourth Proportional to 506.93, 695.52 and 493.16

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Solution

The fourth proportional to 506.93, 695.52 and 493.16 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.93 : 695.52 = 493.16 : x
  2. Step 2: Convert to fraction form
    506.93/695.52 = 493.16/x
  3. Step 3: Cross multiply
    506.93x = 695.52 × 493.16
  4. Step 4: Simplify right side
    506.93x = 342,999.17
  5. Step 5: Solve for x
    x = 342,999.17/506.93
  6. Step 6: Final answer
    x = 676.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.