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Finding the Fourth Proportional to 430.28, 645.45 and 170.26

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Solution

The fourth proportional to 430.28, 645.45 and 170.26 is: 255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.28 : 645.45 = 170.26 : x
  2. Step 2: Convert to fraction form
    430.28/645.45 = 170.26/x
  3. Step 3: Cross multiply
    430.28x = 645.45 × 170.26
  4. Step 4: Simplify right side
    430.28x = 109,894.32
  5. Step 5: Solve for x
    x = 109,894.32/430.28
  6. Step 6: Final answer
    x = 255.40

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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.