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Finding the Fourth Proportional to 465.40, 696.08 and 414.40

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Solution

The fourth proportional to 465.40, 696.08 and 414.40 is: 619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 696.08 = 414.40 : x
  2. Step 2: Convert to fraction form
    465.40/696.08 = 414.40/x
  3. Step 3: Cross multiply
    465.40x = 696.08 × 414.40
  4. Step 4: Simplify right side
    465.40x = 288,455.55
  5. Step 5: Solve for x
    x = 288,455.55/465.40
  6. Step 6: Final answer
    x = 619.80

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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.