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Finding the Fourth Proportional to 543.87, 750.96 and 433.17

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Solution

The fourth proportional to 543.87, 750.96 and 433.17 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 750.96 = 433.17 : x
  2. Step 2: Convert to fraction form
    543.87/750.96 = 433.17/x
  3. Step 3: Cross multiply
    543.87x = 750.96 × 433.17
  4. Step 4: Simplify right side
    543.87x = 325,293.34
  5. Step 5: Solve for x
    x = 325,293.34/543.87
  6. Step 6: Final answer
    x = 598.11

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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.