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Finding the Fourth Proportional to 575.36, 794.12 and 342.64

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Solution

The fourth proportional to 575.36, 794.12 and 342.64 is: 472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.36 : 794.12 = 342.64 : x
  2. Step 2: Convert to fraction form
    575.36/794.12 = 342.64/x
  3. Step 3: Cross multiply
    575.36x = 794.12 × 342.64
  4. Step 4: Simplify right side
    575.36x = 272,097.28
  5. Step 5: Solve for x
    x = 272,097.28/575.36
  6. Step 6: Final answer
    x = 472.92

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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.