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Finding the Fourth Proportional to 460.01, 634.56 and 293.93

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Solution

The fourth proportional to 460.01, 634.56 and 293.93 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.01 : 634.56 = 293.93 : x
  2. Step 2: Convert to fraction form
    460.01/634.56 = 293.93/x
  3. Step 3: Cross multiply
    460.01x = 634.56 × 293.93
  4. Step 4: Simplify right side
    460.01x = 186,513.05
  5. Step 5: Solve for x
    x = 186,513.05/460.01
  6. Step 6: Final answer
    x = 405.46

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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.