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Finding the Fourth Proportional to 523.52, 722.48 and 436.04

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Solution

The fourth proportional to 523.52, 722.48 and 436.04 is: 601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 722.48 = 436.04 : x
  2. Step 2: Convert to fraction form
    523.52/722.48 = 436.04/x
  3. Step 3: Cross multiply
    523.52x = 722.48 × 436.04
  4. Step 4: Simplify right side
    523.52x = 315,030.18
  5. Step 5: Solve for x
    x = 315,030.18/523.52
  6. Step 6: Final answer
    x = 601.75

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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.