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Finding the Fourth Proportional to 492.32, 733.32 and 474.86

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Solution

The fourth proportional to 492.32, 733.32 and 474.86 is: 707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.32 : 733.32 = 474.86 : x
  2. Step 2: Convert to fraction form
    492.32/733.32 = 474.86/x
  3. Step 3: Cross multiply
    492.32x = 733.32 × 474.86
  4. Step 4: Simplify right side
    492.32x = 348,224.34
  5. Step 5: Solve for x
    x = 348,224.34/492.32
  6. Step 6: Final answer
    x = 707.31

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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.