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Finding the Fourth Proportional to 435.63, 601.20 and 288.01

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Solution

The fourth proportional to 435.63, 601.20 and 288.01 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.63 : 601.20 = 288.01 : x
  2. Step 2: Convert to fraction form
    435.63/601.20 = 288.01/x
  3. Step 3: Cross multiply
    435.63x = 601.20 × 288.01
  4. Step 4: Simplify right side
    435.63x = 173,147.17
  5. Step 5: Solve for x
    x = 173,147.17/435.63
  6. Step 6: Final answer
    x = 397.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.