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Finding the Fourth Proportional to 416.16, 573.48 and 284.94

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Solution

The fourth proportional to 416.16, 573.48 and 284.94 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 573.48 = 284.94 : x
  2. Step 2: Convert to fraction form
    416.16/573.48 = 284.94/x
  3. Step 3: Cross multiply
    416.16x = 573.48 × 284.94
  4. Step 4: Simplify right side
    416.16x = 163,407.39
  5. Step 5: Solve for x
    x = 163,407.39/416.16
  6. Step 6: Final answer
    x = 392.66

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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.