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Finding the Fourth Proportional to 404.66, 559.10 and 257.65

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Solution

The fourth proportional to 404.66, 559.10 and 257.65 is: 355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.66 : 559.10 = 257.65 : x
  2. Step 2: Convert to fraction form
    404.66/559.10 = 257.65/x
  3. Step 3: Cross multiply
    404.66x = 559.10 × 257.65
  4. Step 4: Simplify right side
    404.66x = 144,051.36
  5. Step 5: Solve for x
    x = 144,051.36/404.66
  6. Step 6: Final answer
    x = 355.98

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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.