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Finding the Fourth Proportional to 572.86, 859.83 and 264.93

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Solution

The fourth proportional to 572.86, 859.83 and 264.93 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.86 : 859.83 = 264.93 : x
  2. Step 2: Convert to fraction form
    572.86/859.83 = 264.93/x
  3. Step 3: Cross multiply
    572.86x = 859.83 × 264.93
  4. Step 4: Simplify right side
    572.86x = 227,794.76
  5. Step 5: Solve for x
    x = 227,794.76/572.86
  6. Step 6: Final answer
    x = 397.64

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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.