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Finding the Fourth Proportional to 460.15, 690.27 and 229

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Solution

The fourth proportional to 460.15, 690.27 and 229 is: 343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.15 : 690.27 = 229 : x
  2. Step 2: Convert to fraction form
    460.15/690.27 = 229/x
  3. Step 3: Cross multiply
    460.15x = 690.27 × 229
  4. Step 4: Simplify right side
    460.15x = 158,071.83
  5. Step 5: Solve for x
    x = 158,071.83/460.15
  6. Step 6: Final answer
    x = 343.52

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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.