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Finding the Fourth Proportional to 575.64, 794.16 and 400.68

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Solution

The fourth proportional to 575.64, 794.16 and 400.68 is: 552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.64 : 794.16 = 400.68 : x
  2. Step 2: Convert to fraction form
    575.64/794.16 = 400.68/x
  3. Step 3: Cross multiply
    575.64x = 794.16 × 400.68
  4. Step 4: Simplify right side
    575.64x = 318,204.03
  5. Step 5: Solve for x
    x = 318,204.03/575.64
  6. Step 6: Final answer
    x = 552.78

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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.