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Finding the Fourth Proportional to 460.19, 635.06 and 253.19

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Solution

The fourth proportional to 460.19, 635.06 and 253.19 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.19 : 635.06 = 253.19 : x
  2. Step 2: Convert to fraction form
    460.19/635.06 = 253.19/x
  3. Step 3: Cross multiply
    460.19x = 635.06 × 253.19
  4. Step 4: Simplify right side
    460.19x = 160,788.94
  5. Step 5: Solve for x
    x = 160,788.94/460.19
  6. Step 6: Final answer
    x = 349.40

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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.