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Finding the Fourth Proportional to 399.04, 598.54 and 106.54

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Solution

The fourth proportional to 399.04, 598.54 and 106.54 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.04 : 598.54 = 106.54 : x
  2. Step 2: Convert to fraction form
    399.04/598.54 = 106.54/x
  3. Step 3: Cross multiply
    399.04x = 598.54 × 106.54
  4. Step 4: Simplify right side
    399.04x = 63,768.45
  5. Step 5: Solve for x
    x = 63,768.45/399.04
  6. Step 6: Final answer
    x = 159.80

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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.