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Finding the Fourth Proportional to 575.40, 794.09 and 313.42

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Solution

The fourth proportional to 575.40, 794.09 and 313.42 is: 432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.40 : 794.09 = 313.42 : x
  2. Step 2: Convert to fraction form
    575.40/794.09 = 313.42/x
  3. Step 3: Cross multiply
    575.40x = 794.09 × 313.42
  4. Step 4: Simplify right side
    575.40x = 248,882.21
  5. Step 5: Solve for x
    x = 248,882.21/575.40
  6. Step 6: Final answer
    x = 432.53

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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.