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Finding the Fourth Proportional to 598.75, 824.32 and 472.48

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Solution

The fourth proportional to 598.75, 824.32 and 472.48 is: 650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.75 : 824.32 = 472.48 : x
  2. Step 2: Convert to fraction form
    598.75/824.32 = 472.48/x
  3. Step 3: Cross multiply
    598.75x = 824.32 × 472.48
  4. Step 4: Simplify right side
    598.75x = 389,474.71
  5. Step 5: Solve for x
    x = 389,474.71/598.75
  6. Step 6: Final answer
    x = 650.48

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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.