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Finding the Fourth Proportional to 460.69, 635.75 and 253.69

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Solution

The fourth proportional to 460.69, 635.75 and 253.69 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 635.75 = 253.69 : x
  2. Step 2: Convert to fraction form
    460.69/635.75 = 253.69/x
  3. Step 3: Cross multiply
    460.69x = 635.75 × 253.69
  4. Step 4: Simplify right side
    460.69x = 161,281.51
  5. Step 5: Solve for x
    x = 161,281.51/460.69
  6. Step 6: Final answer
    x = 350.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.