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Finding the Fourth Proportional to 425.02, 585.98 and 277.42

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Solution

The fourth proportional to 425.02, 585.98 and 277.42 is: 382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 585.98 = 277.42 : x
  2. Step 2: Convert to fraction form
    425.02/585.98 = 277.42/x
  3. Step 3: Cross multiply
    425.02x = 585.98 × 277.42
  4. Step 4: Simplify right side
    425.02x = 162,560.34
  5. Step 5: Solve for x
    x = 162,560.34/425.02
  6. Step 6: Final answer
    x = 382.48

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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.