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Finding the Fourth Proportional to 465.08, 696.24 and 407.41

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Solution

The fourth proportional to 465.08, 696.24 and 407.41 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.08 : 696.24 = 407.41 : x
  2. Step 2: Convert to fraction form
    465.08/696.24 = 407.41/x
  3. Step 3: Cross multiply
    465.08x = 696.24 × 407.41
  4. Step 4: Simplify right side
    465.08x = 283,655.14
  5. Step 5: Solve for x
    x = 283,655.14/465.08
  6. Step 6: Final answer
    x = 609.91

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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.