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Finding the Fourth Proportional to 384.99, 577.76 and 192.75

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Solution

The fourth proportional to 384.99, 577.76 and 192.75 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 577.76 = 192.75 : x
  2. Step 2: Convert to fraction form
    384.99/577.76 = 192.75/x
  3. Step 3: Cross multiply
    384.99x = 577.76 × 192.75
  4. Step 4: Simplify right side
    384.99x = 111,362.28
  5. Step 5: Solve for x
    x = 111,362.28/384.99
  6. Step 6: Final answer
    x = 289.26

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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.