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Finding the Fourth Proportional to 696.42, 960.63 and 434.39

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Solution

The fourth proportional to 696.42, 960.63 and 434.39 is: 599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 960.63 = 434.39 : x
  2. Step 2: Convert to fraction form
    696.42/960.63 = 434.39/x
  3. Step 3: Cross multiply
    696.42x = 960.63 × 434.39
  4. Step 4: Simplify right side
    696.42x = 417,283.26
  5. Step 5: Solve for x
    x = 417,283.26/696.42
  6. Step 6: Final answer
    x = 599.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.