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Finding the Fourth Proportional to 858.39, 1,184.57 and 465.41

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Solution

The fourth proportional to 858.39, 1,184.57 and 465.41 is: 642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.39 : 1,184.57 = 465.41 : x
  2. Step 2: Convert to fraction form
    858.39/1,184.57 = 465.41/x
  3. Step 3: Cross multiply
    858.39x = 1,184.57 × 465.41
  4. Step 4: Simplify right side
    858.39x = 551,310.72
  5. Step 5: Solve for x
    x = 551,310.72/858.39
  6. Step 6: Final answer
    x = 642.26

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1.5x scale

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.