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Finding the Fourth Proportional to 430.34, 645.96 and 214.08

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Solution

The fourth proportional to 430.34, 645.96 and 214.08 is: 321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.34 : 645.96 = 214.08 : x
  2. Step 2: Convert to fraction form
    430.34/645.96 = 214.08/x
  3. Step 3: Cross multiply
    430.34x = 645.96 × 214.08
  4. Step 4: Simplify right side
    430.34x = 138,287.12
  5. Step 5: Solve for x
    x = 138,287.12/430.34
  6. Step 6: Final answer
    x = 321.34

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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.