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Finding the Fourth Proportional to 386.70, 578.84 and 288.62

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Solution

The fourth proportional to 386.70, 578.84 and 288.62 is: 432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.70 : 578.84 = 288.62 : x
  2. Step 2: Convert to fraction form
    386.70/578.84 = 288.62/x
  3. Step 3: Cross multiply
    386.70x = 578.84 × 288.62
  4. Step 4: Simplify right side
    386.70x = 167,060.46
  5. Step 5: Solve for x
    x = 167,060.46/386.70
  6. Step 6: Final answer
    x = 432.02

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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.