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Finding the Fourth Proportional to 575.23, 793.81 and 313.24

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Solution

The fourth proportional to 575.23, 793.81 and 313.24 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.23 : 793.81 = 313.24 : x
  2. Step 2: Convert to fraction form
    575.23/793.81 = 313.24/x
  3. Step 3: Cross multiply
    575.23x = 793.81 × 313.24
  4. Step 4: Simplify right side
    575.23x = 248,655.61
  5. Step 5: Solve for x
    x = 248,655.61/575.23
  6. Step 6: Final answer
    x = 432.27

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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.