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Finding the Fourth Proportional to 384.69, 577.07 and 153.55

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Solution

The fourth proportional to 384.69, 577.07 and 153.55 is: 230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 577.07 = 153.55 : x
  2. Step 2: Convert to fraction form
    384.69/577.07 = 153.55/x
  3. Step 3: Cross multiply
    384.69x = 577.07 × 153.55
  4. Step 4: Simplify right side
    384.69x = 88,609.10
  5. Step 5: Solve for x
    x = 88,609.10/384.69
  6. Step 6: Final answer
    x = 230.34

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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.