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Finding the Fourth Proportional to 600.58, 899.25 and 463.69

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Solution

The fourth proportional to 600.58, 899.25 and 463.69 is: 694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.58 : 899.25 = 463.69 : x
  2. Step 2: Convert to fraction form
    600.58/899.25 = 463.69/x
  3. Step 3: Cross multiply
    600.58x = 899.25 × 463.69
  4. Step 4: Simplify right side
    600.58x = 416,973.23
  5. Step 5: Solve for x
    x = 416,973.23/600.58
  6. Step 6: Final answer
    x = 694.28

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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.