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Finding the Fourth Proportional to 572.58, 859.26 and 298.86

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Solution

The fourth proportional to 572.58, 859.26 and 298.86 is: 448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.58 : 859.26 = 298.86 : x
  2. Step 2: Convert to fraction form
    572.58/859.26 = 298.86/x
  3. Step 3: Cross multiply
    572.58x = 859.26 × 298.86
  4. Step 4: Simplify right side
    572.58x = 256,798.44
  5. Step 5: Solve for x
    x = 256,798.44/572.58
  6. Step 6: Final answer
    x = 448.49

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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.