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Finding the Fourth Proportional to 295.35, 407.94 and 268.01

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Solution

The fourth proportional to 295.35, 407.94 and 268.01 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 407.94 = 268.01 : x
  2. Step 2: Convert to fraction form
    295.35/407.94 = 268.01/x
  3. Step 3: Cross multiply
    295.35x = 407.94 × 268.01
  4. Step 4: Simplify right side
    295.35x = 109,330.48
  5. Step 5: Solve for x
    x = 109,330.48/295.35
  6. Step 6: Final answer
    x = 370.18

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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.