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Finding the Fourth Proportional to 651.84, 899.56 and 357.11

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Solution

The fourth proportional to 651.84, 899.56 and 357.11 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 899.56 = 357.11 : x
  2. Step 2: Convert to fraction form
    651.84/899.56 = 357.11/x
  3. Step 3: Cross multiply
    651.84x = 899.56 × 357.11
  4. Step 4: Simplify right side
    651.84x = 321,241.87
  5. Step 5: Solve for x
    x = 321,241.87/651.84
  6. Step 6: Final answer
    x = 492.82

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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.