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Finding the Fourth Proportional to 650.64, 896.58 and 473.31

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Solution

The fourth proportional to 650.64, 896.58 and 473.31 is: 652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.64 : 896.58 = 473.31 : x
  2. Step 2: Convert to fraction form
    650.64/896.58 = 473.31/x
  3. Step 3: Cross multiply
    650.64x = 896.58 × 473.31
  4. Step 4: Simplify right side
    650.64x = 424,360.28
  5. Step 5: Solve for x
    x = 424,360.28/650.64
  6. Step 6: Final answer
    x = 652.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.