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Finding the Fourth Proportional to 651.50, 899.04 and 356.71

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Solution

The fourth proportional to 651.50, 899.04 and 356.71 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.50 : 899.04 = 356.71 : x
  2. Step 2: Convert to fraction form
    651.50/899.04 = 356.71/x
  3. Step 3: Cross multiply
    651.50x = 899.04 × 356.71
  4. Step 4: Simplify right side
    651.50x = 320,696.34
  5. Step 5: Solve for x
    x = 320,696.34/651.50
  6. Step 6: Final answer
    x = 492.24

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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.