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Finding the Fourth Proportional to 497.84, 743.38 and 463.82

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Solution

The fourth proportional to 497.84, 743.38 and 463.82 is: 692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.84 : 743.38 = 463.82 : x
  2. Step 2: Convert to fraction form
    497.84/743.38 = 463.82/x
  3. Step 3: Cross multiply
    497.84x = 743.38 × 463.82
  4. Step 4: Simplify right side
    497.84x = 344,794.51
  5. Step 5: Solve for x
    x = 344,794.51/497.84
  6. Step 6: Final answer
    x = 692.58

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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.