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Finding the Fourth Proportional to 404.64, 557.70 and 382.74

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Solution

The fourth proportional to 404.64, 557.70 and 382.74 is: 527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 557.70 = 382.74 : x
  2. Step 2: Convert to fraction form
    404.64/557.70 = 382.74/x
  3. Step 3: Cross multiply
    404.64x = 557.70 × 382.74
  4. Step 4: Simplify right side
    404.64x = 213,454.10
  5. Step 5: Solve for x
    x = 213,454.10/404.64
  6. Step 6: Final answer
    x = 527.52

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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.