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Finding the Fourth Proportional to 647.06, 970.53 and 214.17

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Solution

The fourth proportional to 647.06, 970.53 and 214.17 is: 321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 970.53 = 214.17 : x
  2. Step 2: Convert to fraction form
    647.06/970.53 = 214.17/x
  3. Step 3: Cross multiply
    647.06x = 970.53 × 214.17
  4. Step 4: Simplify right side
    647.06x = 207,858.41
  5. Step 5: Solve for x
    x = 207,858.41/647.06
  6. Step 6: Final answer
    x = 321.24

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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.