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Finding the Fourth Proportional to 407.54, 609.63 and 339.15

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Solution

The fourth proportional to 407.54, 609.63 and 339.15 is: 507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.54 : 609.63 = 339.15 : x
  2. Step 2: Convert to fraction form
    407.54/609.63 = 339.15/x
  3. Step 3: Cross multiply
    407.54x = 609.63 × 339.15
  4. Step 4: Simplify right side
    407.54x = 206,756.01
  5. Step 5: Solve for x
    x = 206,756.01/407.54
  6. Step 6: Final answer
    x = 507.33

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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.