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Finding the Fourth Proportional to 505.62, 697.74 and 339.83

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Solution

The fourth proportional to 505.62, 697.74 and 339.83 is: 468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 697.74 = 339.83 : x
  2. Step 2: Convert to fraction form
    505.62/697.74 = 339.83/x
  3. Step 3: Cross multiply
    505.62x = 697.74 × 339.83
  4. Step 4: Simplify right side
    505.62x = 237,109.50
  5. Step 5: Solve for x
    x = 237,109.50/505.62
  6. Step 6: Final answer
    x = 468.95

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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.