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Finding the Fourth Proportional to 320.71, 442.61 and 210.25

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Solution

The fourth proportional to 320.71, 442.61 and 210.25 is: 290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.71 : 442.61 = 210.25 : x
  2. Step 2: Convert to fraction form
    320.71/442.61 = 210.25/x
  3. Step 3: Cross multiply
    320.71x = 442.61 × 210.25
  4. Step 4: Simplify right side
    320.71x = 93,058.17
  5. Step 5: Solve for x
    x = 93,058.17/320.71
  6. Step 6: Final answer
    x = 290.17

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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.