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Finding the Fourth Proportional to 407.47, 609.82 and 342.55

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Solution

The fourth proportional to 407.47, 609.82 and 342.55 is: 512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.47 : 609.82 = 342.55 : x
  2. Step 2: Convert to fraction form
    407.47/609.82 = 342.55/x
  3. Step 3: Cross multiply
    407.47x = 609.82 × 342.55
  4. Step 4: Simplify right side
    407.47x = 208,893.84
  5. Step 5: Solve for x
    x = 208,893.84/407.47
  6. Step 6: Final answer
    x = 512.66

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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.