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Finding the Fourth Proportional to 460.29, 689.67 and 297.90

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Solution

The fourth proportional to 460.29, 689.67 and 297.90 is: 446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.29 : 689.67 = 297.90 : x
  2. Step 2: Convert to fraction form
    460.29/689.67 = 297.90/x
  3. Step 3: Cross multiply
    460.29x = 689.67 × 297.90
  4. Step 4: Simplify right side
    460.29x = 205,452.69
  5. Step 5: Solve for x
    x = 205,452.69/460.29
  6. Step 6: Final answer
    x = 446.35

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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.