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Finding the Fourth Proportional to 460.83, 635.66 and 294.98

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Solution

The fourth proportional to 460.83, 635.66 and 294.98 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 635.66 = 294.98 : x
  2. Step 2: Convert to fraction form
    460.83/635.66 = 294.98/x
  3. Step 3: Cross multiply
    460.83x = 635.66 × 294.98
  4. Step 4: Simplify right side
    460.83x = 187,506.99
  5. Step 5: Solve for x
    x = 187,506.99/460.83
  6. Step 6: Final answer
    x = 406.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.