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Finding the Fourth Proportional to 694.58, 957.58 and 432.50

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Solution

The fourth proportional to 694.58, 957.58 and 432.50 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.58 : 957.58 = 432.50 : x
  2. Step 2: Convert to fraction form
    694.58/957.58 = 432.50/x
  3. Step 3: Cross multiply
    694.58x = 957.58 × 432.50
  4. Step 4: Simplify right side
    694.58x = 414,147.48
  5. Step 5: Solve for x
    x = 414,147.48/694.58
  6. Step 6: Final answer
    x = 596.26

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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.