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Finding the Fourth Proportional to 620.31, 855.99 and 340.58

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Solution

The fourth proportional to 620.31, 855.99 and 340.58 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.31 : 855.99 = 340.58 : x
  2. Step 2: Convert to fraction form
    620.31/855.99 = 340.58/x
  3. Step 3: Cross multiply
    620.31x = 855.99 × 340.58
  4. Step 4: Simplify right side
    620.31x = 291,533.76
  5. Step 5: Solve for x
    x = 291,533.76/620.31
  6. Step 6: Final answer
    x = 469.98

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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.