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Finding the Fourth Proportional to 562.68, 838.62 and 452.52

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Solution

The fourth proportional to 562.68, 838.62 and 452.52 is: 674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 838.62 = 452.52 : x
  2. Step 2: Convert to fraction form
    562.68/838.62 = 452.52/x
  3. Step 3: Cross multiply
    562.68x = 838.62 × 452.52
  4. Step 4: Simplify right side
    562.68x = 379,492.32
  5. Step 5: Solve for x
    x = 379,492.32/562.68
  6. Step 6: Final answer
    x = 674.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.