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Finding the Fourth Proportional to 388.08, 577.31 and 384.17

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Solution

The fourth proportional to 388.08, 577.31 and 384.17 is: 571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 577.31 = 384.17 : x
  2. Step 2: Convert to fraction form
    388.08/577.31 = 384.17/x
  3. Step 3: Cross multiply
    388.08x = 577.31 × 384.17
  4. Step 4: Simplify right side
    388.08x = 221,780.38
  5. Step 5: Solve for x
    x = 221,780.38/388.08
  6. Step 6: Final answer
    x = 571.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.