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Finding the Fourth Proportional to 651.63, 899.24 and 356.89

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Solution

The fourth proportional to 651.63, 899.24 and 356.89 is: 492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.63 : 899.24 = 356.89 : x
  2. Step 2: Convert to fraction form
    651.63/899.24 = 356.89/x
  3. Step 3: Cross multiply
    651.63x = 899.24 × 356.89
  4. Step 4: Simplify right side
    651.63x = 320,927.42
  5. Step 5: Solve for x
    x = 320,927.42/651.63
  6. Step 6: Final answer
    x = 492.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.