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Finding the Fourth Proportional to 999.08, 1,498.70 and 305.72

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Solution

The fourth proportional to 999.08, 1,498.70 and 305.72 is: 458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.08 : 1,498.70 = 305.72 : x
  2. Step 2: Convert to fraction form
    999.08/1,498.70 = 305.72/x
  3. Step 3: Cross multiply
    999.08x = 1,498.70 × 305.72
  4. Step 4: Simplify right side
    999.08x = 458,182.56
  5. Step 5: Solve for x
    x = 458,182.56/999.08
  6. Step 6: Final answer
    x = 458.60

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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.