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Finding the Fourth Proportional to 651.34, 898.84 and 356.58

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Solution

The fourth proportional to 651.34, 898.84 and 356.58 is: 492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.34 : 898.84 = 356.58 : x
  2. Step 2: Convert to fraction form
    651.34/898.84 = 356.58/x
  3. Step 3: Cross multiply
    651.34x = 898.84 × 356.58
  4. Step 4: Simplify right side
    651.34x = 320,508.37
  5. Step 5: Solve for x
    x = 320,508.37/651.34
  6. Step 6: Final answer
    x = 492.08

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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.