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Finding the Fourth Proportional to 508.14, 701.06 and 333.18

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Solution

The fourth proportional to 508.14, 701.06 and 333.18 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.14 : 701.06 = 333.18 : x
  2. Step 2: Convert to fraction form
    508.14/701.06 = 333.18/x
  3. Step 3: Cross multiply
    508.14x = 701.06 × 333.18
  4. Step 4: Simplify right side
    508.14x = 233,577.50
  5. Step 5: Solve for x
    x = 233,577.50/508.14
  6. Step 6: Final answer
    x = 459.67

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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.