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Finding the Fourth Proportional to 551.96, 828.66 and 292.16

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Solution

The fourth proportional to 551.96, 828.66 and 292.16 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.96 : 828.66 = 292.16 : x
  2. Step 2: Convert to fraction form
    551.96/828.66 = 292.16/x
  3. Step 3: Cross multiply
    551.96x = 828.66 × 292.16
  4. Step 4: Simplify right side
    551.96x = 242,101.31
  5. Step 5: Solve for x
    x = 242,101.31/551.96
  6. Step 6: Final answer
    x = 438.62

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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.