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Finding the Fourth Proportional to 384.06, 530.01 and 209.41

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Solution

The fourth proportional to 384.06, 530.01 and 209.41 is: 288.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.06 : 530.01 = 209.41 : x
  2. Step 2: Convert to fraction form
    384.06/530.01 = 209.41/x
  3. Step 3: Cross multiply
    384.06x = 530.01 × 209.41
  4. Step 4: Simplify right side
    384.06x = 110,989.39
  5. Step 5: Solve for x
    x = 110,989.39/384.06
  6. Step 6: Final answer
    x = 288.99

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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.