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Finding the Fourth Proportional to 488, 736.06 and 482.34

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Solution

The fourth proportional to 488, 736.06 and 482.34 is: 727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 736.06 = 482.34 : x
  2. Step 2: Convert to fraction form
    488/736.06 = 482.34/x
  3. Step 3: Cross multiply
    488x = 736.06 × 482.34
  4. Step 4: Simplify right side
    488x = 355,031.18
  5. Step 5: Solve for x
    x = 355,031.18/488
  6. Step 6: Final answer
    x = 727.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.