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Finding the Fourth Proportional to 295.69, 407.49 and 212.65

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Solution

The fourth proportional to 295.69, 407.49 and 212.65 is: 293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 407.49 = 212.65 : x
  2. Step 2: Convert to fraction form
    295.69/407.49 = 212.65/x
  3. Step 3: Cross multiply
    295.69x = 407.49 × 212.65
  4. Step 4: Simplify right side
    295.69x = 86,652.75
  5. Step 5: Solve for x
    x = 86,652.75/295.69
  6. Step 6: Final answer
    x = 293.05

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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.