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Finding the Fourth Proportional to 505.66, 698.92 and 461.23

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Solution

The fourth proportional to 505.66, 698.92 and 461.23 is: 637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 698.92 = 461.23 : x
  2. Step 2: Convert to fraction form
    505.66/698.92 = 461.23/x
  3. Step 3: Cross multiply
    505.66x = 698.92 × 461.23
  4. Step 4: Simplify right side
    505.66x = 322,366.50
  5. Step 5: Solve for x
    x = 322,366.50/505.66
  6. Step 6: Final answer
    x = 637.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.