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Finding the Fourth Proportional to 647.63, 971.59 and 214.78

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Solution

The fourth proportional to 647.63, 971.59 and 214.78 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.63 : 971.59 = 214.78 : x
  2. Step 2: Convert to fraction form
    647.63/971.59 = 214.78/x
  3. Step 3: Cross multiply
    647.63x = 971.59 × 214.78
  4. Step 4: Simplify right side
    647.63x = 208,680.53
  5. Step 5: Solve for x
    x = 208,680.53/647.63
  6. Step 6: Final answer
    x = 322.22

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Why These Related Problems?

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