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Finding the Fourth Proportional to 384.43, 530.51 and 209.77

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Solution

The fourth proportional to 384.43, 530.51 and 209.77 is: 289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 530.51 = 209.77 : x
  2. Step 2: Convert to fraction form
    384.43/530.51 = 209.77/x
  3. Step 3: Cross multiply
    384.43x = 530.51 × 209.77
  4. Step 4: Simplify right side
    384.43x = 111,287.93
  5. Step 5: Solve for x
    x = 111,287.93/384.43
  6. Step 6: Final answer
    x = 289.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.