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Finding the Fourth Proportional to 505.56, 698.34 and 375.24

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Solution

The fourth proportional to 505.56, 698.34 and 375.24 is: 518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 698.34 = 375.24 : x
  2. Step 2: Convert to fraction form
    505.56/698.34 = 375.24/x
  3. Step 3: Cross multiply
    505.56x = 698.34 × 375.24
  4. Step 4: Simplify right side
    505.56x = 262,045.10
  5. Step 5: Solve for x
    x = 262,045.10/505.56
  6. Step 6: Final answer
    x = 518.33

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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.