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Finding the Fourth Proportional to 471.96, 702.83 and 444

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Solution

The fourth proportional to 471.96, 702.83 and 444 is: 661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.96 : 702.83 = 444 : x
  2. Step 2: Convert to fraction form
    471.96/702.83 = 444/x
  3. Step 3: Cross multiply
    471.96x = 702.83 × 444
  4. Step 4: Simplify right side
    471.96x = 312,057.63
  5. Step 5: Solve for x
    x = 312,057.63/471.96
  6. Step 6: Final answer
    x = 661.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.