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Finding the Fourth Proportional to 384.95, 531.21 and 210.29

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Solution

The fourth proportional to 384.95, 531.21 and 210.29 is: 290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.95 : 531.21 = 210.29 : x
  2. Step 2: Convert to fraction form
    384.95/531.21 = 210.29/x
  3. Step 3: Cross multiply
    384.95x = 531.21 × 210.29
  4. Step 4: Simplify right side
    384.95x = 111,705.49
  5. Step 5: Solve for x
    x = 111,705.49/384.95
  6. Step 6: Final answer
    x = 290.19

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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.