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Finding the Fourth Proportional to 647.00, 892.58 and 431.48

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Solution

The fourth proportional to 647.00, 892.58 and 431.48 is: 595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.00 : 892.58 = 431.48 : x
  2. Step 2: Convert to fraction form
    647.00/892.58 = 431.48/x
  3. Step 3: Cross multiply
    647.00x = 892.58 × 431.48
  4. Step 4: Simplify right side
    647.00x = 385,123.80
  5. Step 5: Solve for x
    x = 385,123.80/647.00
  6. Step 6: Final answer
    x = 595.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.