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Finding the Fourth Proportional to 291.15, 403.51 and 285.68

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Solution

The fourth proportional to 291.15, 403.51 and 285.68 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.15 : 403.51 = 285.68 : x
  2. Step 2: Convert to fraction form
    291.15/403.51 = 285.68/x
  3. Step 3: Cross multiply
    291.15x = 403.51 × 285.68
  4. Step 4: Simplify right side
    291.15x = 115,274.67
  5. Step 5: Solve for x
    x = 115,274.67/291.15
  6. Step 6: Final answer
    x = 395.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.