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Finding the Fourth Proportional to 334.70, 462.10 and 210.53

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Solution

The fourth proportional to 334.70, 462.10 and 210.53 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.70 : 462.10 = 210.53 : x
  2. Step 2: Convert to fraction form
    334.70/462.10 = 210.53/x
  3. Step 3: Cross multiply
    334.70x = 462.10 × 210.53
  4. Step 4: Simplify right side
    334.70x = 97,285.91
  5. Step 5: Solve for x
    x = 97,285.91/334.70
  6. Step 6: Final answer
    x = 290.67

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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.