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Finding the Fourth Proportional to 551.10, 825.03 and 407.46

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Solution

The fourth proportional to 551.10, 825.03 and 407.46 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.10 : 825.03 = 407.46 : x
  2. Step 2: Convert to fraction form
    551.10/825.03 = 407.46/x
  3. Step 3: Cross multiply
    551.10x = 825.03 × 407.46
  4. Step 4: Simplify right side
    551.10x = 336,166.72
  5. Step 5: Solve for x
    x = 336,166.72/551.10
  6. Step 6: Final answer
    x = 609.99

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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.