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Finding the Fourth Proportional to 466.64, 696.08 and 453.12

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Solution

The fourth proportional to 466.64, 696.08 and 453.12 is: 675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.64 : 696.08 = 453.12 : x
  2. Step 2: Convert to fraction form
    466.64/696.08 = 453.12/x
  3. Step 3: Cross multiply
    466.64x = 696.08 × 453.12
  4. Step 4: Simplify right side
    466.64x = 315,407.77
  5. Step 5: Solve for x
    x = 315,407.77/466.64
  6. Step 6: Final answer
    x = 675.91

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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.