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Finding the Fourth Proportional to 460.04, 690.46 and 229.10

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Solution

The fourth proportional to 460.04, 690.46 and 229.10 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 690.46 = 229.10 : x
  2. Step 2: Convert to fraction form
    460.04/690.46 = 229.10/x
  3. Step 3: Cross multiply
    460.04x = 690.46 × 229.10
  4. Step 4: Simplify right side
    460.04x = 158,184.39
  5. Step 5: Solve for x
    x = 158,184.39/460.04
  6. Step 6: Final answer
    x = 343.85

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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.