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Finding the Fourth Proportional to 651.78, 899.48 and 357.06

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Solution

The fourth proportional to 651.78, 899.48 and 357.06 is: 492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 899.48 = 357.06 : x
  2. Step 2: Convert to fraction form
    651.78/899.48 = 357.06/x
  3. Step 3: Cross multiply
    651.78x = 899.48 × 357.06
  4. Step 4: Simplify right side
    651.78x = 321,168.33
  5. Step 5: Solve for x
    x = 321,168.33/651.78
  6. Step 6: Final answer
    x = 492.76

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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.