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Finding the Fourth Proportional to 404.32, 557.76 and 293.62

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Solution

The fourth proportional to 404.32, 557.76 and 293.62 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.32 : 557.76 = 293.62 : x
  2. Step 2: Convert to fraction form
    404.32/557.76 = 293.62/x
  3. Step 3: Cross multiply
    404.32x = 557.76 × 293.62
  4. Step 4: Simplify right side
    404.32x = 163,769.49
  5. Step 5: Solve for x
    x = 163,769.49/404.32
  6. Step 6: Final answer
    x = 405.05

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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.