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Finding the Fourth Proportional to 524.82, 723.78 and 465.84

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Solution

The fourth proportional to 524.82, 723.78 and 465.84 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 723.78 = 465.84 : x
  2. Step 2: Convert to fraction form
    524.82/723.78 = 465.84/x
  3. Step 3: Cross multiply
    524.82x = 723.78 × 465.84
  4. Step 4: Simplify right side
    524.82x = 337,165.68
  5. Step 5: Solve for x
    x = 337,165.68/524.82
  6. Step 6: Final answer
    x = 642.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.