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Finding the Fourth Proportional to 647.34, 971.07 and 214.50

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Solution

The fourth proportional to 647.34, 971.07 and 214.50 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.34 : 971.07 = 214.50 : x
  2. Step 2: Convert to fraction form
    647.34/971.07 = 214.50/x
  3. Step 3: Cross multiply
    647.34x = 971.07 × 214.50
  4. Step 4: Simplify right side
    647.34x = 208,294.52
  5. Step 5: Solve for x
    x = 208,294.52/647.34
  6. Step 6: Final answer
    x = 321.77

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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.