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Finding the Fourth Proportional to 574.86, 793.50 and 364.95

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Solution

The fourth proportional to 574.86, 793.50 and 364.95 is: 503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.86 : 793.50 = 364.95 : x
  2. Step 2: Convert to fraction form
    574.86/793.50 = 364.95/x
  3. Step 3: Cross multiply
    574.86x = 793.50 × 364.95
  4. Step 4: Simplify right side
    574.86x = 289,587.83
  5. Step 5: Solve for x
    x = 289,587.83/574.86
  6. Step 6: Final answer
    x = 503.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.