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Finding the Fourth Proportional to 532.14, 796.95 and 454.65

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Solution

The fourth proportional to 532.14, 796.95 and 454.65 is: 680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 796.95 = 454.65 : x
  2. Step 2: Convert to fraction form
    532.14/796.95 = 454.65/x
  3. Step 3: Cross multiply
    532.14x = 796.95 × 454.65
  4. Step 4: Simplify right side
    532.14x = 362,333.32
  5. Step 5: Solve for x
    x = 362,333.32/532.14
  6. Step 6: Final answer
    x = 680.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.