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Finding the Fourth Proportional to 557.94, 832.82 and 492.26

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Solution

The fourth proportional to 557.94, 832.82 and 492.26 is: 734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 832.82 = 492.26 : x
  2. Step 2: Convert to fraction form
    557.94/832.82 = 492.26/x
  3. Step 3: Cross multiply
    557.94x = 832.82 × 492.26
  4. Step 4: Simplify right side
    557.94x = 409,957.35
  5. Step 5: Solve for x
    x = 409,957.35/557.94
  6. Step 6: Final answer
    x = 734.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.