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Finding the Fourth Proportional to 384.16, 530.14 and 209.50

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Solution

The fourth proportional to 384.16, 530.14 and 209.50 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.16 : 530.14 = 209.50 : x
  2. Step 2: Convert to fraction form
    384.16/530.14 = 209.50/x
  3. Step 3: Cross multiply
    384.16x = 530.14 × 209.50
  4. Step 4: Simplify right side
    384.16x = 111,063.28
  5. Step 5: Solve for x
    x = 111,063.28/384.16
  6. Step 6: Final answer
    x = 289.11

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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.