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Finding the Fourth Proportional to 441.70, 608.24 and 432.11

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Solution

The fourth proportional to 441.70, 608.24 and 432.11 is: 595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.70 : 608.24 = 432.11 : x
  2. Step 2: Convert to fraction form
    441.70/608.24 = 432.11/x
  3. Step 3: Cross multiply
    441.70x = 608.24 × 432.11
  4. Step 4: Simplify right side
    441.70x = 262,829.19
  5. Step 5: Solve for x
    x = 262,829.19/441.70
  6. Step 6: Final answer
    x = 595.04

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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.