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Finding the Fourth Proportional to 384.19, 530.18 and 209.54

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Solution

The fourth proportional to 384.19, 530.18 and 209.54 is: 289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 530.18 = 209.54 : x
  2. Step 2: Convert to fraction form
    384.19/530.18 = 209.54/x
  3. Step 3: Cross multiply
    384.19x = 530.18 × 209.54
  4. Step 4: Simplify right side
    384.19x = 111,091.27
  5. Step 5: Solve for x
    x = 111,091.27/384.19
  6. Step 6: Final answer
    x = 289.16

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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.