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Finding the Fourth Proportional to 572.96, 859.46 and 299.11

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Solution

The fourth proportional to 572.96, 859.46 and 299.11 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 859.46 = 299.11 : x
  2. Step 2: Convert to fraction form
    572.96/859.46 = 299.11/x
  3. Step 3: Cross multiply
    572.96x = 859.46 × 299.11
  4. Step 4: Simplify right side
    572.96x = 257,073.08
  5. Step 5: Solve for x
    x = 257,073.08/572.96
  6. Step 6: Final answer
    x = 448.68

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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.