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Finding the Fourth Proportional to 592.25, 817.32 and 371.25

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Solution

The fourth proportional to 592.25, 817.32 and 371.25 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.25 : 817.32 = 371.25 : x
  2. Step 2: Convert to fraction form
    592.25/817.32 = 371.25/x
  3. Step 3: Cross multiply
    592.25x = 817.32 × 371.25
  4. Step 4: Simplify right side
    592.25x = 303,431.44
  5. Step 5: Solve for x
    x = 303,431.44/592.25
  6. Step 6: Final answer
    x = 512.34

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1.5x scale

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.