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Finding the Fourth Proportional to 600.75, 899.24 and 417.58

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Solution

The fourth proportional to 600.75, 899.24 and 417.58 is: 625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 899.24 = 417.58 : x
  2. Step 2: Convert to fraction form
    600.75/899.24 = 417.58/x
  3. Step 3: Cross multiply
    600.75x = 899.24 × 417.58
  4. Step 4: Simplify right side
    600.75x = 375,500.30
  5. Step 5: Solve for x
    x = 375,500.30/600.75
  6. Step 6: Final answer
    x = 625.05

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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.