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Finding the Fourth Proportional to 620.76, 856.53 and 424.20

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Solution

The fourth proportional to 620.76, 856.53 and 424.20 is: 585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.76 : 856.53 = 424.20 : x
  2. Step 2: Convert to fraction form
    620.76/856.53 = 424.20/x
  3. Step 3: Cross multiply
    620.76x = 856.53 × 424.20
  4. Step 4: Simplify right side
    620.76x = 363,340.03
  5. Step 5: Solve for x
    x = 363,340.03/620.76
  6. Step 6: Final answer
    x = 585.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.