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Finding the Fourth Proportional to 505.57, 697.72 and 281.51

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Solution

The fourth proportional to 505.57, 697.72 and 281.51 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.57 : 697.72 = 281.51 : x
  2. Step 2: Convert to fraction form
    505.57/697.72 = 281.51/x
  3. Step 3: Cross multiply
    505.57x = 697.72 × 281.51
  4. Step 4: Simplify right side
    505.57x = 196,415.16
  5. Step 5: Solve for x
    x = 196,415.16/505.57
  6. Step 6: Final answer
    x = 388.50

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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.