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Finding the Fourth Proportional to 505.86, 698.40 and 319.62

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Solution

The fourth proportional to 505.86, 698.40 and 319.62 is: 441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.86 : 698.40 = 319.62 : x
  2. Step 2: Convert to fraction form
    505.86/698.40 = 319.62/x
  3. Step 3: Cross multiply
    505.86x = 698.40 × 319.62
  4. Step 4: Simplify right side
    505.86x = 223,222.61
  5. Step 5: Solve for x
    x = 223,222.61/505.86
  6. Step 6: Final answer
    x = 441.27

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