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Finding the Fourth Proportional to 430.94, 645.95 and 170.78

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Solution

The fourth proportional to 430.94, 645.95 and 170.78 is: 255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 645.95 = 170.78 : x
  2. Step 2: Convert to fraction form
    430.94/645.95 = 170.78/x
  3. Step 3: Cross multiply
    430.94x = 645.95 × 170.78
  4. Step 4: Simplify right side
    430.94x = 110,312.54
  5. Step 5: Solve for x
    x = 110,312.54/430.94
  6. Step 6: Final answer
    x = 255.98

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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.