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Finding the Fourth Proportional to 620.30, 856.00 and 340.52

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Solution

The fourth proportional to 620.30, 856.00 and 340.52 is: 469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.30 : 856.00 = 340.52 : x
  2. Step 2: Convert to fraction form
    620.30/856.00 = 340.52/x
  3. Step 3: Cross multiply
    620.30x = 856.00 × 340.52
  4. Step 4: Simplify right side
    620.30x = 291,486.41
  5. Step 5: Solve for x
    x = 291,486.41/620.30
  6. Step 6: Final answer
    x = 469.92

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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.