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Finding the Fourth Proportional to 575.93, 794.64 and 339.86

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Solution

The fourth proportional to 575.93, 794.64 and 339.86 is: 468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.93 : 794.64 = 339.86 : x
  2. Step 2: Convert to fraction form
    575.93/794.64 = 339.86/x
  3. Step 3: Cross multiply
    575.93x = 794.64 × 339.86
  4. Step 4: Simplify right side
    575.93x = 270,066.35
  5. Step 5: Solve for x
    x = 270,066.35/575.93
  6. Step 6: Final answer
    x = 468.92

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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.