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Finding the Fourth Proportional to 523.47, 722.48 and 346.44

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Solution

The fourth proportional to 523.47, 722.48 and 346.44 is: 478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 722.48 = 346.44 : x
  2. Step 2: Convert to fraction form
    523.47/722.48 = 346.44/x
  3. Step 3: Cross multiply
    523.47x = 722.48 × 346.44
  4. Step 4: Simplify right side
    523.47x = 250,293.22
  5. Step 5: Solve for x
    x = 250,293.22/523.47
  6. Step 6: Final answer
    x = 478.15

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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.