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Finding the Fourth Proportional to 492.84, 735.96 and 458.82

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Solution

The fourth proportional to 492.84, 735.96 and 458.82 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 735.96 = 458.82 : x
  2. Step 2: Convert to fraction form
    492.84/735.96 = 458.82/x
  3. Step 3: Cross multiply
    492.84x = 735.96 × 458.82
  4. Step 4: Simplify right side
    492.84x = 337,673.17
  5. Step 5: Solve for x
    x = 337,673.17/492.84
  6. Step 6: Final answer
    x = 685.16

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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.