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Finding the Fourth Proportional to 384.55, 530.67 and 209.89

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Solution

The fourth proportional to 384.55, 530.67 and 209.89 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.55 : 530.67 = 209.89 : x
  2. Step 2: Convert to fraction form
    384.55/530.67 = 209.89/x
  3. Step 3: Cross multiply
    384.55x = 530.67 × 209.89
  4. Step 4: Simplify right side
    384.55x = 111,381.00
  5. Step 5: Solve for x
    x = 111,381.00/384.55
  6. Step 6: Final answer
    x = 289.64

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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.