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Finding the Fourth Proportional to 647.57, 893.34 and 432.03

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Solution

The fourth proportional to 647.57, 893.34 and 432.03 is: 596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.57 : 893.34 = 432.03 : x
  2. Step 2: Convert to fraction form
    647.57/893.34 = 432.03/x
  3. Step 3: Cross multiply
    647.57x = 893.34 × 432.03
  4. Step 4: Simplify right side
    647.57x = 385,949.68
  5. Step 5: Solve for x
    x = 385,949.68/647.57
  6. Step 6: Final answer
    x = 596.00

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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.