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Finding the Fourth Proportional to 450.68, 620.58 and 415.88

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Solution

The fourth proportional to 450.68, 620.58 and 415.88 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.68 : 620.58 = 415.88 : x
  2. Step 2: Convert to fraction form
    450.68/620.58 = 415.88/x
  3. Step 3: Cross multiply
    450.68x = 620.58 × 415.88
  4. Step 4: Simplify right side
    450.68x = 258,086.81
  5. Step 5: Solve for x
    x = 258,086.81/450.68
  6. Step 6: Final answer
    x = 572.66

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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.