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Finding the Fourth Proportional to 460, 690.36 and 289

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Solution

The fourth proportional to 460, 690.36 and 289 is: 433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 690.36 = 289 : x
  2. Step 2: Convert to fraction form
    460/690.36 = 289/x
  3. Step 3: Cross multiply
    460x = 690.36 × 289
  4. Step 4: Simplify right side
    460x = 199,514.04
  5. Step 5: Solve for x
    x = 199,514.04/460
  6. Step 6: Final answer
    x = 433.73

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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.