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Finding the Fourth Proportional to 416.07, 574.74 and 284.85

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Solution

The fourth proportional to 416.07, 574.74 and 284.85 is: 393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.07 : 574.74 = 284.85 : x
  2. Step 2: Convert to fraction form
    416.07/574.74 = 284.85/x
  3. Step 3: Cross multiply
    416.07x = 574.74 × 284.85
  4. Step 4: Simplify right side
    416.07x = 163,714.69
  5. Step 5: Solve for x
    x = 163,714.69/416.07
  6. Step 6: Final answer
    x = 393.48

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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.