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Finding the Fourth Proportional to 460.45, 690.75 and 229.35

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Solution

The fourth proportional to 460.45, 690.75 and 229.35 is: 344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.45 : 690.75 = 229.35 : x
  2. Step 2: Convert to fraction form
    460.45/690.75 = 229.35/x
  3. Step 3: Cross multiply
    460.45x = 690.75 × 229.35
  4. Step 4: Simplify right side
    460.45x = 158,423.51
  5. Step 5: Solve for x
    x = 158,423.51/460.45
  6. Step 6: Final answer
    x = 344.06

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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.