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Finding the Fourth Proportional to 430.09, 645.14 and 170.08

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Solution

The fourth proportional to 430.09, 645.14 and 170.08 is: 255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.09 : 645.14 = 170.08 : x
  2. Step 2: Convert to fraction form
    430.09/645.14 = 170.08/x
  3. Step 3: Cross multiply
    430.09x = 645.14 × 170.08
  4. Step 4: Simplify right side
    430.09x = 109,721.34
  5. Step 5: Solve for x
    x = 109,721.34/430.09
  6. Step 6: Final answer
    x = 255.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.