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Finding the Fourth Proportional to 357.23, 534.87 and 283.76

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Solution

The fourth proportional to 357.23, 534.87 and 283.76 is: 424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.23 : 534.87 = 283.76 : x
  2. Step 2: Convert to fraction form
    357.23/534.87 = 283.76/x
  3. Step 3: Cross multiply
    357.23x = 534.87 × 283.76
  4. Step 4: Simplify right side
    357.23x = 151,772.04
  5. Step 5: Solve for x
    x = 151,772.04/357.23
  6. Step 6: Final answer
    x = 424.86

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Why These Related Problems?

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