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Finding the Fourth Proportional to 504.98, 696.89 and 295.31

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Solution

The fourth proportional to 504.98, 696.89 and 295.31 is: 407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 696.89 = 295.31 : x
  2. Step 2: Convert to fraction form
    504.98/696.89 = 295.31/x
  3. Step 3: Cross multiply
    504.98x = 696.89 × 295.31
  4. Step 4: Simplify right side
    504.98x = 205,793.62
  5. Step 5: Solve for x
    x = 205,793.62/504.98
  6. Step 6: Final answer
    x = 407.53

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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.