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Finding the Fourth Proportional to 962.42, 1,443.69 and 377.60

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Solution

The fourth proportional to 962.42, 1,443.69 and 377.60 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.42 : 1,443.69 = 377.60 : x
  2. Step 2: Convert to fraction form
    962.42/1,443.69 = 377.60/x
  3. Step 3: Cross multiply
    962.42x = 1,443.69 × 377.60
  4. Step 4: Simplify right side
    962.42x = 545,130.13
  5. Step 5: Solve for x
    x = 545,130.13/962.42
  6. Step 6: Final answer
    x = 566.42

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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.