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Finding the Fourth Proportional to 874.80, 1,312.25 and 354.73

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Solution

The fourth proportional to 874.80, 1,312.25 and 354.73 is: 532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.80 : 1,312.25 = 354.73 : x
  2. Step 2: Convert to fraction form
    874.80/1,312.25 = 354.73/x
  3. Step 3: Cross multiply
    874.80x = 1,312.25 × 354.73
  4. Step 4: Simplify right side
    874.80x = 465,492.38
  5. Step 5: Solve for x
    x = 465,492.38/874.80
  6. Step 6: Final answer
    x = 532.11

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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.