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Finding the Fourth Proportional to 384.61, 530.77 and 209.96

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Solution

The fourth proportional to 384.61, 530.77 and 209.96 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.61 : 530.77 = 209.96 : x
  2. Step 2: Convert to fraction form
    384.61/530.77 = 209.96/x
  3. Step 3: Cross multiply
    384.61x = 530.77 × 209.96
  4. Step 4: Simplify right side
    384.61x = 111,438.08
  5. Step 5: Solve for x
    x = 111,438.08/384.61
  6. Step 6: Final answer
    x = 289.74

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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.