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Finding the Fourth Proportional to 384.90, 577.52 and 209.25

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Solution

The fourth proportional to 384.90, 577.52 and 209.25 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.90 : 577.52 = 209.25 : x
  2. Step 2: Convert to fraction form
    384.90/577.52 = 209.25/x
  3. Step 3: Cross multiply
    384.90x = 577.52 × 209.25
  4. Step 4: Simplify right side
    384.90x = 120,846.06
  5. Step 5: Solve for x
    x = 120,846.06/384.90
  6. Step 6: Final answer
    x = 313.97

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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.