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Finding the Fourth Proportional to 647.32, 971.45 and 485.44

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Solution

The fourth proportional to 647.32, 971.45 and 485.44 is: 728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.32 : 971.45 = 485.44 : x
  2. Step 2: Convert to fraction form
    647.32/971.45 = 485.44/x
  3. Step 3: Cross multiply
    647.32x = 971.45 × 485.44
  4. Step 4: Simplify right side
    647.32x = 471,580.69
  5. Step 5: Solve for x
    x = 471,580.69/647.32
  6. Step 6: Final answer
    x = 728.51

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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.