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Finding the Fourth Proportional to 550.44, 830.66 and 532.08

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Solution

The fourth proportional to 550.44, 830.66 and 532.08 is: 802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.44 : 830.66 = 532.08 : x
  2. Step 2: Convert to fraction form
    550.44/830.66 = 532.08/x
  3. Step 3: Cross multiply
    550.44x = 830.66 × 532.08
  4. Step 4: Simplify right side
    550.44x = 441,974.91
  5. Step 5: Solve for x
    x = 441,974.91/550.44
  6. Step 6: Final answer
    x = 802.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.