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Finding the Fourth Proportional to 460.10, 634.50 and 302.84

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Solution

The fourth proportional to 460.10, 634.50 and 302.84 is: 417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 634.50 = 302.84 : x
  2. Step 2: Convert to fraction form
    460.10/634.50 = 302.84/x
  3. Step 3: Cross multiply
    460.10x = 634.50 × 302.84
  4. Step 4: Simplify right side
    460.10x = 192,151.98
  5. Step 5: Solve for x
    x = 192,151.98/460.10
  6. Step 6: Final answer
    x = 417.63

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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.