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Finding the Fourth Proportional to 598.16, 825.84 and 411.58

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Solution

The fourth proportional to 598.16, 825.84 and 411.58 is: 568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 825.84 = 411.58 : x
  2. Step 2: Convert to fraction form
    598.16/825.84 = 411.58/x
  3. Step 3: Cross multiply
    598.16x = 825.84 × 411.58
  4. Step 4: Simplify right side
    598.16x = 339,899.23
  5. Step 5: Solve for x
    x = 339,899.23/598.16
  6. Step 6: Final answer
    x = 568.24

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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.