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Finding the Fourth Proportional to 557.28, 835.32 and 282.99

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Solution

The fourth proportional to 557.28, 835.32 and 282.99 is: 424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 835.32 = 282.99 : x
  2. Step 2: Convert to fraction form
    557.28/835.32 = 282.99/x
  3. Step 3: Cross multiply
    557.28x = 835.32 × 282.99
  4. Step 4: Simplify right side
    557.28x = 236,387.21
  5. Step 5: Solve for x
    x = 236,387.21/557.28
  6. Step 6: Final answer
    x = 424.18

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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.