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Finding the Fourth Proportional to 642.93, 887.37 and 433.24

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Solution

The fourth proportional to 642.93, 887.37 and 433.24 is: 597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.93 : 887.37 = 433.24 : x
  2. Step 2: Convert to fraction form
    642.93/887.37 = 433.24/x
  3. Step 3: Cross multiply
    642.93x = 887.37 × 433.24
  4. Step 4: Simplify right side
    642.93x = 384,444.18
  5. Step 5: Solve for x
    x = 384,444.18/642.93
  6. Step 6: Final answer
    x = 597.96

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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.