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Finding the Fourth Proportional to 415.16, 572.82 and 283.94

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Solution

The fourth proportional to 415.16, 572.82 and 283.94 is: 391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 572.82 = 283.94 : x
  2. Step 2: Convert to fraction form
    415.16/572.82 = 283.94/x
  3. Step 3: Cross multiply
    415.16x = 572.82 × 283.94
  4. Step 4: Simplify right side
    415.16x = 162,646.51
  5. Step 5: Solve for x
    x = 162,646.51/415.16
  6. Step 6: Final answer
    x = 391.77

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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.