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Finding the Fourth Proportional to 622.34, 858.92 and 360.30

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Solution

The fourth proportional to 622.34, 858.92 and 360.30 is: 497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.34 : 858.92 = 360.30 : x
  2. Step 2: Convert to fraction form
    622.34/858.92 = 360.30/x
  3. Step 3: Cross multiply
    622.34x = 858.92 × 360.30
  4. Step 4: Simplify right side
    622.34x = 309,468.88
  5. Step 5: Solve for x
    x = 309,468.88/622.34
  6. Step 6: Final answer
    x = 497.27

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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.