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Finding the Fourth Proportional to 505.64, 698.01 and 306.56

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Solution

The fourth proportional to 505.64, 698.01 and 306.56 is: 423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.64 : 698.01 = 306.56 : x
  2. Step 2: Convert to fraction form
    505.64/698.01 = 306.56/x
  3. Step 3: Cross multiply
    505.64x = 698.01 × 306.56
  4. Step 4: Simplify right side
    505.64x = 213,981.95
  5. Step 5: Solve for x
    x = 213,981.95/505.64
  6. Step 6: Final answer
    x = 423.19

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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.