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Finding the Fourth Proportional to 465.32, 696.94 and 455.06

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Solution

The fourth proportional to 465.32, 696.94 and 455.06 is: 681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 696.94 = 455.06 : x
  2. Step 2: Convert to fraction form
    465.32/696.94 = 455.06/x
  3. Step 3: Cross multiply
    465.32x = 696.94 × 455.06
  4. Step 4: Simplify right side
    465.32x = 317,149.52
  5. Step 5: Solve for x
    x = 317,149.52/465.32
  6. Step 6: Final answer
    x = 681.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.