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Finding the Fourth Proportional to 305.90, 458.54 and 298.00

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Solution

The fourth proportional to 305.90, 458.54 and 298.00 is: 446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.90 : 458.54 = 298.00 : x
  2. Step 2: Convert to fraction form
    305.90/458.54 = 298.00/x
  3. Step 3: Cross multiply
    305.90x = 458.54 × 298.00
  4. Step 4: Simplify right side
    305.90x = 136,641.14
  5. Step 5: Solve for x
    x = 136,641.14/305.90
  6. Step 6: Final answer
    x = 446.69

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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.