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Finding the Fourth Proportional to 377.55, 521.24 and 259.70

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Solution

The fourth proportional to 377.55, 521.24 and 259.70 is: 358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 521.24 = 259.70 : x
  2. Step 2: Convert to fraction form
    377.55/521.24 = 259.70/x
  3. Step 3: Cross multiply
    377.55x = 521.24 × 259.70
  4. Step 4: Simplify right side
    377.55x = 135,362.12
  5. Step 5: Solve for x
    x = 135,362.12/377.55
  6. Step 6: Final answer
    x = 358.53

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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.