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Finding the Fourth Proportional to 858.21, 1,184.33 and 465.23

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Solution

The fourth proportional to 858.21, 1,184.33 and 465.23 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.21 : 1,184.33 = 465.23 : x
  2. Step 2: Convert to fraction form
    858.21/1,184.33 = 465.23/x
  3. Step 3: Cross multiply
    858.21x = 1,184.33 × 465.23
  4. Step 4: Simplify right side
    858.21x = 550,983.52
  5. Step 5: Solve for x
    x = 550,983.52/858.21
  6. Step 6: Final answer
    x = 642.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.