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Finding the Fourth Proportional to 315.88, 433.69 and 296.68

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Solution

The fourth proportional to 315.88, 433.69 and 296.68 is: 407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.88 : 433.69 = 296.68 : x
  2. Step 2: Convert to fraction form
    315.88/433.69 = 296.68/x
  3. Step 3: Cross multiply
    315.88x = 433.69 × 296.68
  4. Step 4: Simplify right side
    315.88x = 128,667.15
  5. Step 5: Solve for x
    x = 128,667.15/315.88
  6. Step 6: Final answer
    x = 407.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.