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Finding the Fourth Proportional to 594.53, 892.82 and 352.57

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Solution

The fourth proportional to 594.53, 892.82 and 352.57 is: 529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.53 : 892.82 = 352.57 : x
  2. Step 2: Convert to fraction form
    594.53/892.82 = 352.57/x
  3. Step 3: Cross multiply
    594.53x = 892.82 × 352.57
  4. Step 4: Simplify right side
    594.53x = 314,777.55
  5. Step 5: Solve for x
    x = 314,777.55/594.53
  6. Step 6: Final answer
    x = 529.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.