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Finding the Fourth Proportional to 425.16, 585 and 414.42

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Solution

The fourth proportional to 425.16, 585 and 414.42 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 585 = 414.42 : x
  2. Step 2: Convert to fraction form
    425.16/585 = 414.42/x
  3. Step 3: Cross multiply
    425.16x = 585 × 414.42
  4. Step 4: Simplify right side
    425.16x = 242,435.70
  5. Step 5: Solve for x
    x = 242,435.70/425.16
  6. Step 6: Final answer
    x = 570.22

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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.