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Finding the Fourth Proportional to 460.56, 635.74 and 367.50

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Solution

The fourth proportional to 460.56, 635.74 and 367.50 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 635.74 = 367.50 : x
  2. Step 2: Convert to fraction form
    460.56/635.74 = 367.50/x
  3. Step 3: Cross multiply
    460.56x = 635.74 × 367.50
  4. Step 4: Simplify right side
    460.56x = 233,634.45
  5. Step 5: Solve for x
    x = 233,634.45/460.56
  6. Step 6: Final answer
    x = 507.28

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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.