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Finding the Fourth Proportional to 471.18, 703.64 and 466.10

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Solution

The fourth proportional to 471.18, 703.64 and 466.10 is: 696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.18 : 703.64 = 466.10 : x
  2. Step 2: Convert to fraction form
    471.18/703.64 = 466.10/x
  3. Step 3: Cross multiply
    471.18x = 703.64 × 466.10
  4. Step 4: Simplify right side
    471.18x = 327,960.76
  5. Step 5: Solve for x
    x = 327,960.76/471.18
  6. Step 6: Final answer
    x = 696.04

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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.