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Finding the Fourth Proportional to 495.19, 682.85 and 298.67

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Solution

The fourth proportional to 495.19, 682.85 and 298.67 is: 411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.19 : 682.85 = 298.67 : x
  2. Step 2: Convert to fraction form
    495.19/682.85 = 298.67/x
  3. Step 3: Cross multiply
    495.19x = 682.85 × 298.67
  4. Step 4: Simplify right side
    495.19x = 203,946.81
  5. Step 5: Solve for x
    x = 203,946.81/495.19
  6. Step 6: Final answer
    x = 411.86

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1.5x scale

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.