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Finding the Fourth Proportional to 598.32, 825.19 and 377.19

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Solution

The fourth proportional to 598.32, 825.19 and 377.19 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 825.19 = 377.19 : x
  2. Step 2: Convert to fraction form
    598.32/825.19 = 377.19/x
  3. Step 3: Cross multiply
    598.32x = 825.19 × 377.19
  4. Step 4: Simplify right side
    598.32x = 311,252.47
  5. Step 5: Solve for x
    x = 311,252.47/598.32
  6. Step 6: Final answer
    x = 520.21

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Double scale
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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.