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Finding the Fourth Proportional to 417.40, 576.78 and 319.84

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Solution

The fourth proportional to 417.40, 576.78 and 319.84 is: 441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.40 : 576.78 = 319.84 : x
  2. Step 2: Convert to fraction form
    417.40/576.78 = 319.84/x
  3. Step 3: Cross multiply
    417.40x = 576.78 × 319.84
  4. Step 4: Simplify right side
    417.40x = 184,477.32
  5. Step 5: Solve for x
    x = 184,477.32/417.40
  6. Step 6: Final answer
    x = 441.97

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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.