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Finding the Fourth Proportional to 651.30, 898.82 and 356.59

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Solution

The fourth proportional to 651.30, 898.82 and 356.59 is: 492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.30 : 898.82 = 356.59 : x
  2. Step 2: Convert to fraction form
    651.30/898.82 = 356.59/x
  3. Step 3: Cross multiply
    651.30x = 898.82 × 356.59
  4. Step 4: Simplify right side
    651.30x = 320,510.22
  5. Step 5: Solve for x
    x = 320,510.22/651.30
  6. Step 6: Final answer
    x = 492.11

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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.