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Finding the Fourth Proportional to 503.63, 695.18 and 333.29

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Solution

The fourth proportional to 503.63, 695.18 and 333.29 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 695.18 = 333.29 : x
  2. Step 2: Convert to fraction form
    503.63/695.18 = 333.29/x
  3. Step 3: Cross multiply
    503.63x = 695.18 × 333.29
  4. Step 4: Simplify right side
    503.63x = 231,696.61
  5. Step 5: Solve for x
    x = 231,696.61/503.63
  6. Step 6: Final answer
    x = 460.06

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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.