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Finding the Fourth Proportional to 962.81, 1,444.13 and 377.69

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Solution

The fourth proportional to 962.81, 1,444.13 and 377.69 is: 566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.81 : 1,444.13 = 377.69 : x
  2. Step 2: Convert to fraction form
    962.81/1,444.13 = 377.69/x
  3. Step 3: Cross multiply
    962.81x = 1,444.13 × 377.69
  4. Step 4: Simplify right side
    962.81x = 545,424.35
  5. Step 5: Solve for x
    x = 545,424.35/962.81
  6. Step 6: Final answer
    x = 566.50

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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.