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Finding the Fourth Proportional to 404.76, 558.46 and 257.32

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Solution

The fourth proportional to 404.76, 558.46 and 257.32 is: 355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 558.46 = 257.32 : x
  2. Step 2: Convert to fraction form
    404.76/558.46 = 257.32/x
  3. Step 3: Cross multiply
    404.76x = 558.46 × 257.32
  4. Step 4: Simplify right side
    404.76x = 143,702.93
  5. Step 5: Solve for x
    x = 143,702.93/404.76
  6. Step 6: Final answer
    x = 355.03

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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.