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Finding the Fourth Proportional to 440.10, 655.52 and 438.12

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Solution

The fourth proportional to 440.10, 655.52 and 438.12 is: 652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.10 : 655.52 = 438.12 : x
  2. Step 2: Convert to fraction form
    440.10/655.52 = 438.12/x
  3. Step 3: Cross multiply
    440.10x = 655.52 × 438.12
  4. Step 4: Simplify right side
    440.10x = 287,194.23
  5. Step 5: Solve for x
    x = 287,194.23/440.10
  6. Step 6: Final answer
    x = 652.57

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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.