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Finding the Fourth Proportional to 647.89, 971.76 and 384.37

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Solution

The fourth proportional to 647.89, 971.76 and 384.37 is: 576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.89 : 971.76 = 384.37 : x
  2. Step 2: Convert to fraction form
    647.89/971.76 = 384.37/x
  3. Step 3: Cross multiply
    647.89x = 971.76 × 384.37
  4. Step 4: Simplify right side
    647.89x = 373,515.39
  5. Step 5: Solve for x
    x = 373,515.39/647.89
  6. Step 6: Final answer
    x = 576.51

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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.