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Finding the Fourth Proportional to 442.44, 659.70 and 401.40

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Solution

The fourth proportional to 442.44, 659.70 and 401.40 is: 598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.44 : 659.70 = 401.40 : x
  2. Step 2: Convert to fraction form
    442.44/659.70 = 401.40/x
  3. Step 3: Cross multiply
    442.44x = 659.70 × 401.40
  4. Step 4: Simplify right side
    442.44x = 264,803.58
  5. Step 5: Solve for x
    x = 264,803.58/442.44
  6. Step 6: Final answer
    x = 598.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.