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Finding the Fourth Proportional to 830.30, 1,245.45 and 214.01

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Solution

The fourth proportional to 830.30, 1,245.45 and 214.01 is: 321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.30 : 1,245.45 = 214.01 : x
  2. Step 2: Convert to fraction form
    830.30/1,245.45 = 214.01/x
  3. Step 3: Cross multiply
    830.30x = 1,245.45 × 214.01
  4. Step 4: Simplify right side
    830.30x = 266,532.53
  5. Step 5: Solve for x
    x = 266,532.53/830.30
  6. Step 6: Final answer
    x = 321.01

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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.