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Finding the Fourth Proportional to 334.56, 461.71 and 210.17

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Solution

The fourth proportional to 334.56, 461.71 and 210.17 is: 290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.56 : 461.71 = 210.17 : x
  2. Step 2: Convert to fraction form
    334.56/461.71 = 210.17/x
  3. Step 3: Cross multiply
    334.56x = 461.71 × 210.17
  4. Step 4: Simplify right side
    334.56x = 97,038.42
  5. Step 5: Solve for x
    x = 97,038.42/334.56
  6. Step 6: Final answer
    x = 290.05

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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.