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Finding the Fourth Proportional to 651.64, 899.24 and 356.90

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Solution

The fourth proportional to 651.64, 899.24 and 356.90 is: 492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.64 : 899.24 = 356.90 : x
  2. Step 2: Convert to fraction form
    651.64/899.24 = 356.90/x
  3. Step 3: Cross multiply
    651.64x = 899.24 × 356.90
  4. Step 4: Simplify right side
    651.64x = 320,938.76
  5. Step 5: Solve for x
    x = 320,938.76/651.64
  6. Step 6: Final answer
    x = 492.51

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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.