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Finding the Fourth Proportional to 595.34, 892.08 and 282.63

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Solution

The fourth proportional to 595.34, 892.08 and 282.63 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 892.08 = 282.63 : x
  2. Step 2: Convert to fraction form
    595.34/892.08 = 282.63/x
  3. Step 3: Cross multiply
    595.34x = 892.08 × 282.63
  4. Step 4: Simplify right side
    595.34x = 252,128.57
  5. Step 5: Solve for x
    x = 252,128.57/595.34
  6. Step 6: Final answer
    x = 423.50

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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.