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Finding the Fourth Proportional to 651.29, 898.74 and 356.54

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Solution

The fourth proportional to 651.29, 898.74 and 356.54 is: 492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.29 : 898.74 = 356.54 : x
  2. Step 2: Convert to fraction form
    651.29/898.74 = 356.54/x
  3. Step 3: Cross multiply
    651.29x = 898.74 × 356.54
  4. Step 4: Simplify right side
    651.29x = 320,432.27
  5. Step 5: Solve for x
    x = 320,432.27/651.29
  6. Step 6: Final answer
    x = 492.00

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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.