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Finding the Fourth Proportional to 568.66, 785.13 and 335.86

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Solution

The fourth proportional to 568.66, 785.13 and 335.86 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.66 : 785.13 = 335.86 : x
  2. Step 2: Convert to fraction form
    568.66/785.13 = 335.86/x
  3. Step 3: Cross multiply
    568.66x = 785.13 × 335.86
  4. Step 4: Simplify right side
    568.66x = 263,693.76
  5. Step 5: Solve for x
    x = 263,693.76/568.66
  6. Step 6: Final answer
    x = 463.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.