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Finding the Fourth Proportional to 505.25, 697.34 and 295.55

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Solution

The fourth proportional to 505.25, 697.34 and 295.55 is: 407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.25 : 697.34 = 295.55 : x
  2. Step 2: Convert to fraction form
    505.25/697.34 = 295.55/x
  3. Step 3: Cross multiply
    505.25x = 697.34 × 295.55
  4. Step 4: Simplify right side
    505.25x = 206,098.84
  5. Step 5: Solve for x
    x = 206,098.84/505.25
  6. Step 6: Final answer
    x = 407.91

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