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Finding the Fourth Proportional to 503.71, 695.13 and 293.94

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Solution

The fourth proportional to 503.71, 695.13 and 293.94 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.71 : 695.13 = 293.94 : x
  2. Step 2: Convert to fraction form
    503.71/695.13 = 293.94/x
  3. Step 3: Cross multiply
    503.71x = 695.13 × 293.94
  4. Step 4: Simplify right side
    503.71x = 204,326.51
  5. Step 5: Solve for x
    x = 204,326.51/503.71
  6. Step 6: Final answer
    x = 405.64

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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.