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Finding the Fourth Proportional to 694.30, 957.98 and 432.16

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Solution

The fourth proportional to 694.30, 957.98 and 432.16 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.30 : 957.98 = 432.16 : x
  2. Step 2: Convert to fraction form
    694.30/957.98 = 432.16/x
  3. Step 3: Cross multiply
    694.30x = 957.98 × 432.16
  4. Step 4: Simplify right side
    694.30x = 414,000.64
  5. Step 5: Solve for x
    x = 414,000.64/694.30
  6. Step 6: Final answer
    x = 596.28

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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.