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Finding the Fourth Proportional to 380.93, 570.96 and 312.59

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Solution

The fourth proportional to 380.93, 570.96 and 312.59 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.93 : 570.96 = 312.59 : x
  2. Step 2: Convert to fraction form
    380.93/570.96 = 312.59/x
  3. Step 3: Cross multiply
    380.93x = 570.96 × 312.59
  4. Step 4: Simplify right side
    380.93x = 178,476.39
  5. Step 5: Solve for x
    x = 178,476.39/380.93
  6. Step 6: Final answer
    x = 468.53

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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.