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Finding the Fourth Proportional to 333.59, 459.42 and 307.63

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Solution

The fourth proportional to 333.59, 459.42 and 307.63 is: 423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.59 : 459.42 = 307.63 : x
  2. Step 2: Convert to fraction form
    333.59/459.42 = 307.63/x
  3. Step 3: Cross multiply
    333.59x = 459.42 × 307.63
  4. Step 4: Simplify right side
    333.59x = 141,331.37
  5. Step 5: Solve for x
    x = 141,331.37/333.59
  6. Step 6: Final answer
    x = 423.67

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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.