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Finding the Fourth Proportional to 357.28, 535 and 296.23

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Solution

The fourth proportional to 357.28, 535 and 296.23 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 535 = 296.23 : x
  2. Step 2: Convert to fraction form
    357.28/535 = 296.23/x
  3. Step 3: Cross multiply
    357.28x = 535 × 296.23
  4. Step 4: Simplify right side
    357.28x = 158,483.05
  5. Step 5: Solve for x
    x = 158,483.05/357.28
  6. Step 6: Final answer
    x = 443.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.