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Finding the Fourth Proportional to 622.10, 858.31 and 360.08

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Solution

The fourth proportional to 622.10, 858.31 and 360.08 is: 496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.10 : 858.31 = 360.08 : x
  2. Step 2: Convert to fraction form
    622.10/858.31 = 360.08/x
  3. Step 3: Cross multiply
    622.10x = 858.31 × 360.08
  4. Step 4: Simplify right side
    622.10x = 309,060.26
  5. Step 5: Solve for x
    x = 309,060.26/622.10
  6. Step 6: Final answer
    x = 496.80

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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.