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Finding the Fourth Proportional to 575.06, 793.85 and 409.82

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Solution

The fourth proportional to 575.06, 793.85 and 409.82 is: 565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.06 : 793.85 = 409.82 : x
  2. Step 2: Convert to fraction form
    575.06/793.85 = 409.82/x
  3. Step 3: Cross multiply
    575.06x = 793.85 × 409.82
  4. Step 4: Simplify right side
    575.06x = 325,329.59
  5. Step 5: Solve for x
    x = 325,329.59/575.06
  6. Step 6: Final answer
    x = 565.74

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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.