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Finding the Fourth Proportional to 290.41, 435.58 and 98.03

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Solution

The fourth proportional to 290.41, 435.58 and 98.03 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.41 : 435.58 = 98.03 : x
  2. Step 2: Convert to fraction form
    290.41/435.58 = 98.03/x
  3. Step 3: Cross multiply
    290.41x = 435.58 × 98.03
  4. Step 4: Simplify right side
    290.41x = 42,700.75
  5. Step 5: Solve for x
    x = 42,700.75/290.41
  6. Step 6: Final answer
    x = 147.04

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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.