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Finding the Fourth Proportional to 651.89, 899.61 and 357.17

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Solution

The fourth proportional to 651.89, 899.61 and 357.17 is: 492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.89 : 899.61 = 357.17 : x
  2. Step 2: Convert to fraction form
    651.89/899.61 = 357.17/x
  3. Step 3: Cross multiply
    651.89x = 899.61 × 357.17
  4. Step 4: Simplify right side
    651.89x = 321,309.21
  5. Step 5: Solve for x
    x = 321,309.21/651.89
  6. Step 6: Final answer
    x = 492.89

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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.