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Finding the Fourth Proportional to 627.84, 942.36 and 353.58

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Solution

The fourth proportional to 627.84, 942.36 and 353.58 is: 530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 942.36 = 353.58 : x
  2. Step 2: Convert to fraction form
    627.84/942.36 = 353.58/x
  3. Step 3: Cross multiply
    627.84x = 942.36 × 353.58
  4. Step 4: Simplify right side
    627.84x = 333,199.65
  5. Step 5: Solve for x
    x = 333,199.65/627.84
  6. Step 6: Final answer
    x = 530.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.