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Finding the Fourth Proportional to 384.61, 577.68 and 230.82

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Solution

The fourth proportional to 384.61, 577.68 and 230.82 is: 346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.61 : 577.68 = 230.82 : x
  2. Step 2: Convert to fraction form
    384.61/577.68 = 230.82/x
  3. Step 3: Cross multiply
    384.61x = 577.68 × 230.82
  4. Step 4: Simplify right side
    384.61x = 133,340.10
  5. Step 5: Solve for x
    x = 133,340.10/384.61
  6. Step 6: Final answer
    x = 346.69

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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.