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Finding the Fourth Proportional to 651.80, 899.49 and 357.06

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Solution

The fourth proportional to 651.80, 899.49 and 357.06 is: 492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.80 : 899.49 = 357.06 : x
  2. Step 2: Convert to fraction form
    651.80/899.49 = 357.06/x
  3. Step 3: Cross multiply
    651.80x = 899.49 × 357.06
  4. Step 4: Simplify right side
    651.80x = 321,169.54
  5. Step 5: Solve for x
    x = 321,169.54/651.80
  6. Step 6: Final answer
    x = 492.74

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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.