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Finding the Fourth Proportional to 306.50, 459.54 and 209.03

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Solution

The fourth proportional to 306.50, 459.54 and 209.03 is: 313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 459.54 = 209.03 : x
  2. Step 2: Convert to fraction form
    306.50/459.54 = 209.03/x
  3. Step 3: Cross multiply
    306.50x = 459.54 × 209.03
  4. Step 4: Simplify right side
    306.50x = 96,055.35
  5. Step 5: Solve for x
    x = 96,055.35/306.50
  6. Step 6: Final answer
    x = 313.40

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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.