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Finding the Fourth Proportional to 479.65, 661.75 and 293.08

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Solution

The fourth proportional to 479.65, 661.75 and 293.08 is: 404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.65 : 661.75 = 293.08 : x
  2. Step 2: Convert to fraction form
    479.65/661.75 = 293.08/x
  3. Step 3: Cross multiply
    479.65x = 661.75 × 293.08
  4. Step 4: Simplify right side
    479.65x = 193,944.22
  5. Step 5: Solve for x
    x = 193,944.22/479.65
  6. Step 6: Final answer
    x = 404.35

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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.