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Finding the Fourth Proportional to 572.86, 859.41 and 298.88

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Solution

The fourth proportional to 572.86, 859.41 and 298.88 is: 448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.86 : 859.41 = 298.88 : x
  2. Step 2: Convert to fraction form
    572.86/859.41 = 298.88/x
  3. Step 3: Cross multiply
    572.86x = 859.41 × 298.88
  4. Step 4: Simplify right side
    572.86x = 256,858.18
  5. Step 5: Solve for x
    x = 256,858.18/572.86
  6. Step 6: Final answer
    x = 448.38

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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.