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Finding the Fourth Proportional to 407.86, 612.58 and 349.43

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Solution

The fourth proportional to 407.86, 612.58 and 349.43 is: 524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 612.58 = 349.43 : x
  2. Step 2: Convert to fraction form
    407.86/612.58 = 349.43/x
  3. Step 3: Cross multiply
    407.86x = 612.58 × 349.43
  4. Step 4: Simplify right side
    407.86x = 214,051.04
  5. Step 5: Solve for x
    x = 214,051.04/407.86
  6. Step 6: Final answer
    x = 524.81

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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.