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Finding the Fourth Proportional to 505.36, 697.36 and 295.52

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Solution

The fourth proportional to 505.36, 697.36 and 295.52 is: 407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 697.36 = 295.52 : x
  2. Step 2: Convert to fraction form
    505.36/697.36 = 295.52/x
  3. Step 3: Cross multiply
    505.36x = 697.36 × 295.52
  4. Step 4: Simplify right side
    505.36x = 206,083.83
  5. Step 5: Solve for x
    x = 206,083.83/505.36
  6. Step 6: Final answer
    x = 407.80

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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.