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Finding the Fourth Proportional to 415.52, 572.77 and 310.45

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Solution

The fourth proportional to 415.52, 572.77 and 310.45 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 572.77 = 310.45 : x
  2. Step 2: Convert to fraction form
    415.52/572.77 = 310.45/x
  3. Step 3: Cross multiply
    415.52x = 572.77 × 310.45
  4. Step 4: Simplify right side
    415.52x = 177,816.45
  5. Step 5: Solve for x
    x = 177,816.45/415.52
  6. Step 6: Final answer
    x = 427.94

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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.