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Finding the Fourth Proportional to 505.23, 697.31 and 295.53

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Solution

The fourth proportional to 505.23, 697.31 and 295.53 is: 407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 697.31 = 295.53 : x
  2. Step 2: Convert to fraction form
    505.23/697.31 = 295.53/x
  3. Step 3: Cross multiply
    505.23x = 697.31 × 295.53
  4. Step 4: Simplify right side
    505.23x = 206,076.02
  5. Step 5: Solve for x
    x = 206,076.02/505.23
  6. Step 6: Final answer
    x = 407.89

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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.