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Finding the Fourth Proportional to 922.60, 1,384.14 and 306.40

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Solution

The fourth proportional to 922.60, 1,384.14 and 306.40 is: 459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.60 : 1,384.14 = 306.40 : x
  2. Step 2: Convert to fraction form
    922.60/1,384.14 = 306.40/x
  3. Step 3: Cross multiply
    922.60x = 1,384.14 × 306.40
  4. Step 4: Simplify right side
    922.60x = 424,100.50
  5. Step 5: Solve for x
    x = 424,100.50/922.60
  6. Step 6: Final answer
    x = 459.68

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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.