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Finding the Fourth Proportional to 505.22, 697.59 and 365.67

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Solution

The fourth proportional to 505.22, 697.59 and 365.67 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 697.59 = 365.67 : x
  2. Step 2: Convert to fraction form
    505.22/697.59 = 365.67/x
  3. Step 3: Cross multiply
    505.22x = 697.59 × 365.67
  4. Step 4: Simplify right side
    505.22x = 255,087.74
  5. Step 5: Solve for x
    x = 255,087.74/505.22
  6. Step 6: Final answer
    x = 504.91

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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.