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Finding the Fourth Proportional to 404.58, 557.67 and 299.51

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Solution

The fourth proportional to 404.58, 557.67 and 299.51 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.58 : 557.67 = 299.51 : x
  2. Step 2: Convert to fraction form
    404.58/557.67 = 299.51/x
  3. Step 3: Cross multiply
    404.58x = 557.67 × 299.51
  4. Step 4: Simplify right side
    404.58x = 167,024.95
  5. Step 5: Solve for x
    x = 167,024.95/404.58
  6. Step 6: Final answer
    x = 412.84

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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.