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Finding the Fourth Proportional to 460.51, 690.88 and 229.50

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Solution

The fourth proportional to 460.51, 690.88 and 229.50 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.51 : 690.88 = 229.50 : x
  2. Step 2: Convert to fraction form
    460.51/690.88 = 229.50/x
  3. Step 3: Cross multiply
    460.51x = 690.88 × 229.50
  4. Step 4: Simplify right side
    460.51x = 158,559.73
  5. Step 5: Solve for x
    x = 158,559.73/460.51
  6. Step 6: Final answer
    x = 344.32

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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.