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Finding the Fourth Proportional to 406.44, 607.05 and 345.69

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Solution

The fourth proportional to 406.44, 607.05 and 345.69 is: 516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 607.05 = 345.69 : x
  2. Step 2: Convert to fraction form
    406.44/607.05 = 345.69/x
  3. Step 3: Cross multiply
    406.44x = 607.05 × 345.69
  4. Step 4: Simplify right side
    406.44x = 209,851.11
  5. Step 5: Solve for x
    x = 209,851.11/406.44
  6. Step 6: Final answer
    x = 516.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.