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Finding the Fourth Proportional to 505.77, 697.72 and 365.66

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Solution

The fourth proportional to 505.77, 697.72 and 365.66 is: 504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 697.72 = 365.66 : x
  2. Step 2: Convert to fraction form
    505.77/697.72 = 365.66/x
  3. Step 3: Cross multiply
    505.77x = 697.72 × 365.66
  4. Step 4: Simplify right side
    505.77x = 255,127.88
  5. Step 5: Solve for x
    x = 255,127.88/505.77
  6. Step 6: Final answer
    x = 504.44

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Why These Related Problems?

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