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Finding the Fourth Proportional to 488.16, 671.83 and 448.83

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Solution

The fourth proportional to 488.16, 671.83 and 448.83 is: 617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 671.83 = 448.83 : x
  2. Step 2: Convert to fraction form
    488.16/671.83 = 448.83/x
  3. Step 3: Cross multiply
    488.16x = 671.83 × 448.83
  4. Step 4: Simplify right side
    488.16x = 301,536.34
  5. Step 5: Solve for x
    x = 301,536.34/488.16
  6. Step 6: Final answer
    x = 617.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.