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Finding the Fourth Proportional to 575.24, 793.07 and 496.46

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Solution

The fourth proportional to 575.24, 793.07 and 496.46 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.24 : 793.07 = 496.46 : x
  2. Step 2: Convert to fraction form
    575.24/793.07 = 496.46/x
  3. Step 3: Cross multiply
    575.24x = 793.07 × 496.46
  4. Step 4: Simplify right side
    575.24x = 393,721.08
  5. Step 5: Solve for x
    x = 393,721.08/575.24
  6. Step 6: Final answer
    x = 684.45

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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.