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Finding the Fourth Proportional to 384.29, 530.31 and 209.63

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Solution

The fourth proportional to 384.29, 530.31 and 209.63 is: 289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.29 : 530.31 = 209.63 : x
  2. Step 2: Convert to fraction form
    384.29/530.31 = 209.63/x
  3. Step 3: Cross multiply
    384.29x = 530.31 × 209.63
  4. Step 4: Simplify right side
    384.29x = 111,166.23
  5. Step 5: Solve for x
    x = 111,166.23/384.29
  6. Step 6: Final answer
    x = 289.28

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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.