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Finding the Fourth Proportional to 460.42, 690.08 and 213.58

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Solution

The fourth proportional to 460.42, 690.08 and 213.58 is: 320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 690.08 = 213.58 : x
  2. Step 2: Convert to fraction form
    460.42/690.08 = 213.58/x
  3. Step 3: Cross multiply
    460.42x = 690.08 × 213.58
  4. Step 4: Simplify right side
    460.42x = 147,387.29
  5. Step 5: Solve for x
    x = 147,387.29/460.42
  6. Step 6: Final answer
    x = 320.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.