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Finding the Fourth Proportional to 647.70, 971.93 and 237.12

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Solution

The fourth proportional to 647.70, 971.93 and 237.12 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.70 : 971.93 = 237.12 : x
  2. Step 2: Convert to fraction form
    647.70/971.93 = 237.12/x
  3. Step 3: Cross multiply
    647.70x = 971.93 × 237.12
  4. Step 4: Simplify right side
    647.70x = 230,464.04
  5. Step 5: Solve for x
    x = 230,464.04/647.70
  6. Step 6: Final answer
    x = 355.82

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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.