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Finding the Fourth Proportional to 922.98, 1,384.59 and 306.48

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Solution

The fourth proportional to 922.98, 1,384.59 and 306.48 is: 459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.98 : 1,384.59 = 306.48 : x
  2. Step 2: Convert to fraction form
    922.98/1,384.59 = 306.48/x
  3. Step 3: Cross multiply
    922.98x = 1,384.59 × 306.48
  4. Step 4: Simplify right side
    922.98x = 424,349.14
  5. Step 5: Solve for x
    x = 424,349.14/922.98
  6. Step 6: Final answer
    x = 459.76

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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.