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Finding the Fourth Proportional to 364.02, 544.74 and 298.20

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Solution

The fourth proportional to 364.02, 544.74 and 298.20 is: 446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 544.74 = 298.20 : x
  2. Step 2: Convert to fraction form
    364.02/544.74 = 298.20/x
  3. Step 3: Cross multiply
    364.02x = 544.74 × 298.20
  4. Step 4: Simplify right side
    364.02x = 162,441.47
  5. Step 5: Solve for x
    x = 162,441.47/364.02
  6. Step 6: Final answer
    x = 446.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.