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Finding the Fourth Proportional to 488.77, 675.07 and 414.34

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Solution

The fourth proportional to 488.77, 675.07 and 414.34 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.77 : 675.07 = 414.34 : x
  2. Step 2: Convert to fraction form
    488.77/675.07 = 414.34/x
  3. Step 3: Cross multiply
    488.77x = 675.07 × 414.34
  4. Step 4: Simplify right side
    488.77x = 279,705.78
  5. Step 5: Solve for x
    x = 279,705.78/488.77
  6. Step 6: Final answer
    x = 572.27

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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.