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Finding the Fourth Proportional to 990.38, 1,484.65 and 340.96

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Solution

The fourth proportional to 990.38, 1,484.65 and 340.96 is: 511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.38 : 1,484.65 = 340.96 : x
  2. Step 2: Convert to fraction form
    990.38/1,484.65 = 340.96/x
  3. Step 3: Cross multiply
    990.38x = 1,484.65 × 340.96
  4. Step 4: Simplify right side
    990.38x = 506,206.26
  5. Step 5: Solve for x
    x = 506,206.26/990.38
  6. Step 6: Final answer
    x = 511.12

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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.