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Finding the Fourth Proportional to 386.47, 578.88 and 256.54

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Solution

The fourth proportional to 386.47, 578.88 and 256.54 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.47 : 578.88 = 256.54 : x
  2. Step 2: Convert to fraction form
    386.47/578.88 = 256.54/x
  3. Step 3: Cross multiply
    386.47x = 578.88 × 256.54
  4. Step 4: Simplify right side
    386.47x = 148,501.70
  5. Step 5: Solve for x
    x = 148,501.70/386.47
  6. Step 6: Final answer
    x = 384.25

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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.