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Finding the Fourth Proportional to 414.84, 572.94 and 284.16

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Solution

The fourth proportional to 414.84, 572.94 and 284.16 is: 392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 572.94 = 284.16 : x
  2. Step 2: Convert to fraction form
    414.84/572.94 = 284.16/x
  3. Step 3: Cross multiply
    414.84x = 572.94 × 284.16
  4. Step 4: Simplify right side
    414.84x = 162,806.63
  5. Step 5: Solve for x
    x = 162,806.63/414.84
  6. Step 6: Final answer
    x = 392.46

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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.