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Finding the Fourth Proportional to 575.39, 792.69 and 476.84

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Solution

The fourth proportional to 575.39, 792.69 and 476.84 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.39 : 792.69 = 476.84 : x
  2. Step 2: Convert to fraction form
    575.39/792.69 = 476.84/x
  3. Step 3: Cross multiply
    575.39x = 792.69 × 476.84
  4. Step 4: Simplify right side
    575.39x = 377,982.34
  5. Step 5: Solve for x
    x = 377,982.34/575.39
  6. Step 6: Final answer
    x = 656.92

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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.