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Finding the Fourth Proportional to 404.10, 608.57 and 355.88

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Solution

The fourth proportional to 404.10, 608.57 and 355.88 is: 535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.10 : 608.57 = 355.88 : x
  2. Step 2: Convert to fraction form
    404.10/608.57 = 355.88/x
  3. Step 3: Cross multiply
    404.10x = 608.57 × 355.88
  4. Step 4: Simplify right side
    404.10x = 216,573.07
  5. Step 5: Solve for x
    x = 216,573.07/404.10
  6. Step 6: Final answer
    x = 535.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.