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Finding the Fourth Proportional to 874.78, 1,312.55 and 326.90

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Solution

The fourth proportional to 874.78, 1,312.55 and 326.90 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.78 : 1,312.55 = 326.90 : x
  2. Step 2: Convert to fraction form
    874.78/1,312.55 = 326.90/x
  3. Step 3: Cross multiply
    874.78x = 1,312.55 × 326.90
  4. Step 4: Simplify right side
    874.78x = 429,065.62
  5. Step 5: Solve for x
    x = 429,065.62/874.78
  6. Step 6: Final answer
    x = 490.48

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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.