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Finding the Fourth Proportional to 482.80, 722.76 and 418

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Solution

The fourth proportional to 482.80, 722.76 and 418 is: 625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.80 : 722.76 = 418 : x
  2. Step 2: Convert to fraction form
    482.80/722.76 = 418/x
  3. Step 3: Cross multiply
    482.80x = 722.76 × 418
  4. Step 4: Simplify right side
    482.80x = 302,113.68
  5. Step 5: Solve for x
    x = 302,113.68/482.80
  6. Step 6: Final answer
    x = 625.75

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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.