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Finding the Fourth Proportional to 696.64, 961.46 and 431.16

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Solution

The fourth proportional to 696.64, 961.46 and 431.16 is: 595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.64 : 961.46 = 431.16 : x
  2. Step 2: Convert to fraction form
    696.64/961.46 = 431.16/x
  3. Step 3: Cross multiply
    696.64x = 961.46 × 431.16
  4. Step 4: Simplify right side
    696.64x = 414,544.25
  5. Step 5: Solve for x
    x = 414,544.25/696.64
  6. Step 6: Final answer
    x = 595.07

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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.