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Finding the Fourth Proportional to 440.40, 654.09 and 432.30

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Solution

The fourth proportional to 440.40, 654.09 and 432.30 is: 642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.40 : 654.09 = 432.30 : x
  2. Step 2: Convert to fraction form
    440.40/654.09 = 432.30/x
  3. Step 3: Cross multiply
    440.40x = 654.09 × 432.30
  4. Step 4: Simplify right side
    440.40x = 282,763.11
  5. Step 5: Solve for x
    x = 282,763.11/440.40
  6. Step 6: Final answer
    x = 642.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.