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Finding the Fourth Proportional to 505.96, 698.66 and 340.24

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Solution

The fourth proportional to 505.96, 698.66 and 340.24 is: 469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.96 : 698.66 = 340.24 : x
  2. Step 2: Convert to fraction form
    505.96/698.66 = 340.24/x
  3. Step 3: Cross multiply
    505.96x = 698.66 × 340.24
  4. Step 4: Simplify right side
    505.96x = 237,712.08
  5. Step 5: Solve for x
    x = 237,712.08/505.96
  6. Step 6: Final answer
    x = 469.82

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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.