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Finding the Fourth Proportional to 595.41, 892.41 and 352.11

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Solution

The fourth proportional to 595.41, 892.41 and 352.11 is: 527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.41 : 892.41 = 352.11 : x
  2. Step 2: Convert to fraction form
    595.41/892.41 = 352.11/x
  3. Step 3: Cross multiply
    595.41x = 892.41 × 352.11
  4. Step 4: Simplify right side
    595.41x = 314,226.49
  5. Step 5: Solve for x
    x = 314,226.49/595.41
  6. Step 6: Final answer
    x = 527.75

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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.