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Finding the Fourth Proportional to 385.06, 531.38 and 210.40

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Solution

The fourth proportional to 385.06, 531.38 and 210.40 is: 290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.06 : 531.38 = 210.40 : x
  2. Step 2: Convert to fraction form
    385.06/531.38 = 210.40/x
  3. Step 3: Cross multiply
    385.06x = 531.38 × 210.40
  4. Step 4: Simplify right side
    385.06x = 111,802.35
  5. Step 5: Solve for x
    x = 111,802.35/385.06
  6. Step 6: Final answer
    x = 290.35

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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.