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Finding the Fourth Proportional to 378.66, 570.28 and 335.86

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Solution

The fourth proportional to 378.66, 570.28 and 335.86 is: 505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.66 : 570.28 = 335.86 : x
  2. Step 2: Convert to fraction form
    378.66/570.28 = 335.86/x
  3. Step 3: Cross multiply
    378.66x = 570.28 × 335.86
  4. Step 4: Simplify right side
    378.66x = 191,534.24
  5. Step 5: Solve for x
    x = 191,534.24/378.66
  6. Step 6: Final answer
    x = 505.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.