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Finding the Fourth Proportional to 651.84, 899.49 and 357.13

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Solution

The fourth proportional to 651.84, 899.49 and 357.13 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 899.49 = 357.13 : x
  2. Step 2: Convert to fraction form
    651.84/899.49 = 357.13/x
  3. Step 3: Cross multiply
    651.84x = 899.49 × 357.13
  4. Step 4: Simplify right side
    651.84x = 321,234.86
  5. Step 5: Solve for x
    x = 321,234.86/651.84
  6. Step 6: Final answer
    x = 492.81

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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.