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Finding the Fourth Proportional to 571.08, 787.46 and 492.32

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Solution

The fourth proportional to 571.08, 787.46 and 492.32 is: 678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 787.46 = 492.32 : x
  2. Step 2: Convert to fraction form
    571.08/787.46 = 492.32/x
  3. Step 3: Cross multiply
    571.08x = 787.46 × 492.32
  4. Step 4: Simplify right side
    571.08x = 387,682.31
  5. Step 5: Solve for x
    x = 387,682.31/571.08
  6. Step 6: Final answer
    x = 678.86

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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.