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Finding the Fourth Proportional to 858.38, 1,184.56 and 465.40

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Solution

The fourth proportional to 858.38, 1,184.56 and 465.40 is: 642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,184.56 = 465.40 : x
  2. Step 2: Convert to fraction form
    858.38/1,184.56 = 465.40/x
  3. Step 3: Cross multiply
    858.38x = 1,184.56 × 465.40
  4. Step 4: Simplify right side
    858.38x = 551,294.54
  5. Step 5: Solve for x
    x = 551,294.54/858.38
  6. Step 6: Final answer
    x = 642.25

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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.