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Finding the Fourth Proportional to 858.49, 1,184.71 and 465.52

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Solution

The fourth proportional to 858.49, 1,184.71 and 465.52 is: 642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.49 : 1,184.71 = 465.52 : x
  2. Step 2: Convert to fraction form
    858.49/1,184.71 = 465.52/x
  3. Step 3: Cross multiply
    858.49x = 1,184.71 × 465.52
  4. Step 4: Simplify right side
    858.49x = 551,506.20
  5. Step 5: Solve for x
    x = 551,506.20/858.49
  6. Step 6: Final answer
    x = 642.41

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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.