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Finding the Fourth Proportional to 651.23, 898.66 and 356.50

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Solution

The fourth proportional to 651.23, 898.66 and 356.50 is: 491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.23 : 898.66 = 356.50 : x
  2. Step 2: Convert to fraction form
    651.23/898.66 = 356.50/x
  3. Step 3: Cross multiply
    651.23x = 898.66 × 356.50
  4. Step 4: Simplify right side
    651.23x = 320,372.29
  5. Step 5: Solve for x
    x = 320,372.29/651.23
  6. Step 6: Final answer
    x = 491.95

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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.