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Finding the Fourth Proportional to 922.80, 1,384.12 and 306.52

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Solution

The fourth proportional to 922.80, 1,384.12 and 306.52 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.80 : 1,384.12 = 306.52 : x
  2. Step 2: Convert to fraction form
    922.80/1,384.12 = 306.52/x
  3. Step 3: Cross multiply
    922.80x = 1,384.12 × 306.52
  4. Step 4: Simplify right side
    922.80x = 424,260.46
  5. Step 5: Solve for x
    x = 424,260.46/922.80
  6. Step 6: Final answer
    x = 459.75

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1.5x scale

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.