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Finding the Fourth Proportional to 858.35, 1,184.52 and 465.37

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Solution

The fourth proportional to 858.35, 1,184.52 and 465.37 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.35 : 1,184.52 = 465.37 : x
  2. Step 2: Convert to fraction form
    858.35/1,184.52 = 465.37/x
  3. Step 3: Cross multiply
    858.35x = 1,184.52 × 465.37
  4. Step 4: Simplify right side
    858.35x = 551,240.07
  5. Step 5: Solve for x
    x = 551,240.07/858.35
  6. Step 6: Final answer
    x = 642.21

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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.