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Finding the Fourth Proportional to 420.84, 631.46 and 170.67

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Solution

The fourth proportional to 420.84, 631.46 and 170.67 is: 256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 631.46 = 170.67 : x
  2. Step 2: Convert to fraction form
    420.84/631.46 = 170.67/x
  3. Step 3: Cross multiply
    420.84x = 631.46 × 170.67
  4. Step 4: Simplify right side
    420.84x = 107,769.34
  5. Step 5: Solve for x
    x = 107,769.34/420.84
  6. Step 6: Final answer
    x = 256.08

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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.