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Finding the Fourth Proportional to 620.58, 856.22 and 424.14

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Solution

The fourth proportional to 620.58, 856.22 and 424.14 is: 585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.58 : 856.22 = 424.14 : x
  2. Step 2: Convert to fraction form
    620.58/856.22 = 424.14/x
  3. Step 3: Cross multiply
    620.58x = 856.22 × 424.14
  4. Step 4: Simplify right side
    620.58x = 363,157.15
  5. Step 5: Solve for x
    x = 363,157.15/620.58
  6. Step 6: Final answer
    x = 585.19

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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.