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Finding the Fourth Proportional to 622.57, 858.94 and 360.40

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Solution

The fourth proportional to 622.57, 858.94 and 360.40 is: 497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.57 : 858.94 = 360.40 : x
  2. Step 2: Convert to fraction form
    622.57/858.94 = 360.40/x
  3. Step 3: Cross multiply
    622.57x = 858.94 × 360.40
  4. Step 4: Simplify right side
    622.57x = 309,563.50
  5. Step 5: Solve for x
    x = 309,563.50/622.57
  6. Step 6: Final answer
    x = 497.23

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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.