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Finding the Fourth Proportional to 295.14, 407.33 and 285.93

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Solution

The fourth proportional to 295.14, 407.33 and 285.93 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.14 : 407.33 = 285.93 : x
  2. Step 2: Convert to fraction form
    295.14/407.33 = 285.93/x
  3. Step 3: Cross multiply
    295.14x = 407.33 × 285.93
  4. Step 4: Simplify right side
    295.14x = 116,467.51
  5. Step 5: Solve for x
    x = 116,467.51/295.14
  6. Step 6: Final answer
    x = 394.61

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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.