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Finding the Fourth Proportional to 990.01, 1,484.98 and 259.57

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Solution

The fourth proportional to 990.01, 1,484.98 and 259.57 is: 389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.01 : 1,484.98 = 259.57 : x
  2. Step 2: Convert to fraction form
    990.01/1,484.98 = 259.57/x
  3. Step 3: Cross multiply
    990.01x = 1,484.98 × 259.57
  4. Step 4: Simplify right side
    990.01x = 385,456.26
  5. Step 5: Solve for x
    x = 385,456.26/990.01
  6. Step 6: Final answer
    x = 389.35

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