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Finding the Fourth Proportional to 651.19, 898.64 and 356.46

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Solution

The fourth proportional to 651.19, 898.64 and 356.46 is: 491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.19 : 898.64 = 356.46 : x
  2. Step 2: Convert to fraction form
    651.19/898.64 = 356.46/x
  3. Step 3: Cross multiply
    651.19x = 898.64 × 356.46
  4. Step 4: Simplify right side
    651.19x = 320,330.11
  5. Step 5: Solve for x
    x = 320,330.11/651.19
  6. Step 6: Final answer
    x = 491.92

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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.