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Finding the Fourth Proportional to 694.41, 958.32 and 432.51

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Solution

The fourth proportional to 694.41, 958.32 and 432.51 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.41 : 958.32 = 432.51 : x
  2. Step 2: Convert to fraction form
    694.41/958.32 = 432.51/x
  3. Step 3: Cross multiply
    694.41x = 958.32 × 432.51
  4. Step 4: Simplify right side
    694.41x = 414,482.98
  5. Step 5: Solve for x
    x = 414,482.98/694.41
  6. Step 6: Final answer
    x = 596.89

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