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Finding the Fourth Proportional to 471.83, 703.08 and 466.56

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Solution

The fourth proportional to 471.83, 703.08 and 466.56 is: 695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.83 : 703.08 = 466.56 : x
  2. Step 2: Convert to fraction form
    471.83/703.08 = 466.56/x
  3. Step 3: Cross multiply
    471.83x = 703.08 × 466.56
  4. Step 4: Simplify right side
    471.83x = 328,029.00
  5. Step 5: Solve for x
    x = 328,029.00/471.83
  6. Step 6: Final answer
    x = 695.23

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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.