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Finding the Fourth Proportional to 858.46, 1,184.68 and 465.49

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Solution

The fourth proportional to 858.46, 1,184.68 and 465.49 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.46 : 1,184.68 = 465.49 : x
  2. Step 2: Convert to fraction form
    858.46/1,184.68 = 465.49/x
  3. Step 3: Cross multiply
    858.46x = 1,184.68 × 465.49
  4. Step 4: Simplify right side
    858.46x = 551,448.44
  5. Step 5: Solve for x
    x = 551,448.44/858.46
  6. Step 6: Final answer
    x = 642.37

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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.