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Finding the Fourth Proportional to 460.51, 635.53 and 264.03

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Solution

The fourth proportional to 460.51, 635.53 and 264.03 is: 364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.51 : 635.53 = 264.03 : x
  2. Step 2: Convert to fraction form
    460.51/635.53 = 264.03/x
  3. Step 3: Cross multiply
    460.51x = 635.53 × 264.03
  4. Step 4: Simplify right side
    460.51x = 167,798.99
  5. Step 5: Solve for x
    x = 167,798.99/460.51
  6. Step 6: Final answer
    x = 364.38

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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.