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Finding the Fourth Proportional to 336.30, 501.60 and 313.62

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Solution

The fourth proportional to 336.30, 501.60 and 313.62 is: 467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 501.60 = 313.62 : x
  2. Step 2: Convert to fraction form
    336.30/501.60 = 313.62/x
  3. Step 3: Cross multiply
    336.30x = 501.60 × 313.62
  4. Step 4: Simplify right side
    336.30x = 157,311.79
  5. Step 5: Solve for x
    x = 157,311.79/336.30
  6. Step 6: Final answer
    x = 467.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.