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Finding the Fourth Proportional to 460.01, 633.69 and 335.34

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Solution

The fourth proportional to 460.01, 633.69 and 335.34 is: 461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.01 : 633.69 = 335.34 : x
  2. Step 2: Convert to fraction form
    460.01/633.69 = 335.34/x
  3. Step 3: Cross multiply
    460.01x = 633.69 × 335.34
  4. Step 4: Simplify right side
    460.01x = 212,501.60
  5. Step 5: Solve for x
    x = 212,501.60/460.01
  6. Step 6: Final answer
    x = 461.95

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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.