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Finding the Fourth Proportional to 389.60, 582.96 and 298.16

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Solution

The fourth proportional to 389.60, 582.96 and 298.16 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 582.96 = 298.16 : x
  2. Step 2: Convert to fraction form
    389.60/582.96 = 298.16/x
  3. Step 3: Cross multiply
    389.60x = 582.96 × 298.16
  4. Step 4: Simplify right side
    389.60x = 173,815.35
  5. Step 5: Solve for x
    x = 173,815.35/389.60
  6. Step 6: Final answer
    x = 446.14

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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.