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Finding the Fourth Proportional to 407.70, 561.67 and 333.58

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Solution

The fourth proportional to 407.70, 561.67 and 333.58 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 561.67 = 333.58 : x
  2. Step 2: Convert to fraction form
    407.70/561.67 = 333.58/x
  3. Step 3: Cross multiply
    407.70x = 561.67 × 333.58
  4. Step 4: Simplify right side
    407.70x = 187,363.00
  5. Step 5: Solve for x
    x = 187,363.00/407.70
  6. Step 6: Final answer
    x = 459.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.