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Finding the Fourth Proportional to 505.32, 697.76 and 319.12

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Solution

The fourth proportional to 505.32, 697.76 and 319.12 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.32 : 697.76 = 319.12 : x
  2. Step 2: Convert to fraction form
    505.32/697.76 = 319.12/x
  3. Step 3: Cross multiply
    505.32x = 697.76 × 319.12
  4. Step 4: Simplify right side
    505.32x = 222,669.17
  5. Step 5: Solve for x
    x = 222,669.17/505.32
  6. Step 6: Final answer
    x = 440.65

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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.