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Finding the Fourth Proportional to 357.28, 533.66 and 240.76

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Solution

The fourth proportional to 357.28, 533.66 and 240.76 is: 359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 533.66 = 240.76 : x
  2. Step 2: Convert to fraction form
    357.28/533.66 = 240.76/x
  3. Step 3: Cross multiply
    357.28x = 533.66 × 240.76
  4. Step 4: Simplify right side
    357.28x = 128,483.98
  5. Step 5: Solve for x
    x = 128,483.98/357.28
  6. Step 6: Final answer
    x = 359.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.