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Finding the Fourth Proportional to 378.35, 568.65 and 313.77

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Solution

The fourth proportional to 378.35, 568.65 and 313.77 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.35 : 568.65 = 313.77 : x
  2. Step 2: Convert to fraction form
    378.35/568.65 = 313.77/x
  3. Step 3: Cross multiply
    378.35x = 568.65 × 313.77
  4. Step 4: Simplify right side
    378.35x = 178,425.31
  5. Step 5: Solve for x
    x = 178,425.31/378.35
  6. Step 6: Final answer
    x = 471.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.