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Finding the Fourth Proportional to 963.53, 1,444.91 and 347.02

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Solution

The fourth proportional to 963.53, 1,444.91 and 347.02 is: 520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.53 : 1,444.91 = 347.02 : x
  2. Step 2: Convert to fraction form
    963.53/1,444.91 = 347.02/x
  3. Step 3: Cross multiply
    963.53x = 1,444.91 × 347.02
  4. Step 4: Simplify right side
    963.53x = 501,409.06
  5. Step 5: Solve for x
    x = 501,409.06/963.53
  6. Step 6: Final answer
    x = 520.39

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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.