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Finding the Fourth Proportional to 295.71, 407.25 and 254.26

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Solution

The fourth proportional to 295.71, 407.25 and 254.26 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.71 : 407.25 = 254.26 : x
  2. Step 2: Convert to fraction form
    295.71/407.25 = 254.26/x
  3. Step 3: Cross multiply
    295.71x = 407.25 × 254.26
  4. Step 4: Simplify right side
    295.71x = 103,547.39
  5. Step 5: Solve for x
    x = 103,547.39/295.71
  6. Step 6: Final answer
    x = 350.17

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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.