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Finding the Fourth Proportional to 386.46, 578.61 and 256.62

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Solution

The fourth proportional to 386.46, 578.61 and 256.62 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.46 : 578.61 = 256.62 : x
  2. Step 2: Convert to fraction form
    386.46/578.61 = 256.62/x
  3. Step 3: Cross multiply
    386.46x = 578.61 × 256.62
  4. Step 4: Simplify right side
    386.46x = 148,482.90
  5. Step 5: Solve for x
    x = 148,482.90/386.46
  6. Step 6: Final answer
    x = 384.21

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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.