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Finding the Fourth Proportional to 647.58, 971.43 and 214.63

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Solution

The fourth proportional to 647.58, 971.43 and 214.63 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.58 : 971.43 = 214.63 : x
  2. Step 2: Convert to fraction form
    647.58/971.43 = 214.63/x
  3. Step 3: Cross multiply
    647.58x = 971.43 × 214.63
  4. Step 4: Simplify right side
    647.58x = 208,498.02
  5. Step 5: Solve for x
    x = 208,498.02/647.58
  6. Step 6: Final answer
    x = 321.96

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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.