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Finding the Fourth Proportional to 647.37, 968.58 and 474.12

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Solution

The fourth proportional to 647.37, 968.58 and 474.12 is: 709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.37 : 968.58 = 474.12 : x
  2. Step 2: Convert to fraction form
    647.37/968.58 = 474.12/x
  3. Step 3: Cross multiply
    647.37x = 968.58 × 474.12
  4. Step 4: Simplify right side
    647.37x = 459,223.15
  5. Step 5: Solve for x
    x = 459,223.15/647.37
  6. Step 6: Final answer
    x = 709.37

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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.