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Finding the Fourth Proportional to 505.66, 697.62 and 319.08

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Solution

The fourth proportional to 505.66, 697.62 and 319.08 is: 440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 697.62 = 319.08 : x
  2. Step 2: Convert to fraction form
    505.66/697.62 = 319.08/x
  3. Step 3: Cross multiply
    505.66x = 697.62 × 319.08
  4. Step 4: Simplify right side
    505.66x = 222,596.13
  5. Step 5: Solve for x
    x = 222,596.13/505.66
  6. Step 6: Final answer
    x = 440.21

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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.