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Finding the Fourth Proportional to 336.48, 504.72 and 209.04

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Solution

The fourth proportional to 336.48, 504.72 and 209.04 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.48 : 504.72 = 209.04 : x
  2. Step 2: Convert to fraction form
    336.48/504.72 = 209.04/x
  3. Step 3: Cross multiply
    336.48x = 504.72 × 209.04
  4. Step 4: Simplify right side
    336.48x = 105,506.67
  5. Step 5: Solve for x
    x = 105,506.67/336.48
  6. Step 6: Final answer
    x = 313.56

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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.