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Finding the Fourth Proportional to 562.36, 775.92 and 422.82

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Solution

The fourth proportional to 562.36, 775.92 and 422.82 is: 583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.36 : 775.92 = 422.82 : x
  2. Step 2: Convert to fraction form
    562.36/775.92 = 422.82/x
  3. Step 3: Cross multiply
    562.36x = 775.92 × 422.82
  4. Step 4: Simplify right side
    562.36x = 328,071.67
  5. Step 5: Solve for x
    x = 328,071.67/562.36
  6. Step 6: Final answer
    x = 583.38

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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.