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Finding the Fourth Proportional to 575.25, 793.04 and 409.88

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Solution

The fourth proportional to 575.25, 793.04 and 409.88 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.25 : 793.04 = 409.88 : x
  2. Step 2: Convert to fraction form
    575.25/793.04 = 409.88/x
  3. Step 3: Cross multiply
    575.25x = 793.04 × 409.88
  4. Step 4: Simplify right side
    575.25x = 325,045.22
  5. Step 5: Solve for x
    x = 325,045.22/575.25
  6. Step 6: Final answer
    x = 565.05

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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.