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Finding the Fourth Proportional to 505.34, 697.68 and 365.91

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Solution

The fourth proportional to 505.34, 697.68 and 365.91 is: 505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 697.68 = 365.91 : x
  2. Step 2: Convert to fraction form
    505.34/697.68 = 365.91/x
  3. Step 3: Cross multiply
    505.34x = 697.68 × 365.91
  4. Step 4: Simplify right side
    505.34x = 255,288.09
  5. Step 5: Solve for x
    x = 255,288.09/505.34
  6. Step 6: Final answer
    x = 505.19

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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.