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Finding the Fourth Proportional to 622.06, 858.28 and 497.97

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Solution

The fourth proportional to 622.06, 858.28 and 497.97 is: 687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.06 : 858.28 = 497.97 : x
  2. Step 2: Convert to fraction form
    622.06/858.28 = 497.97/x
  3. Step 3: Cross multiply
    622.06x = 858.28 × 497.97
  4. Step 4: Simplify right side
    622.06x = 427,397.69
  5. Step 5: Solve for x
    x = 427,397.69/622.06
  6. Step 6: Final answer
    x = 687.07

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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.