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Finding the Fourth Proportional to 662.58, 996 and 534

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Solution

The fourth proportional to 662.58, 996 and 534 is: 802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 996 = 534 : x
  2. Step 2: Convert to fraction form
    662.58/996 = 534/x
  3. Step 3: Cross multiply
    662.58x = 996 × 534
  4. Step 4: Simplify right side
    662.58x = 531,864
  5. Step 5: Solve for x
    x = 531,864/662.58
  6. Step 6: Final answer
    x = 802.72

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Why These Related Problems?

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