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Finding the Fourth Proportional to 543.84, 750.46 and 310.96

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Solution

The fourth proportional to 543.84, 750.46 and 310.96 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.84 : 750.46 = 310.96 : x
  2. Step 2: Convert to fraction form
    543.84/750.46 = 310.96/x
  3. Step 3: Cross multiply
    543.84x = 750.46 × 310.96
  4. Step 4: Simplify right side
    543.84x = 233,363.04
  5. Step 5: Solve for x
    x = 233,363.04/543.84
  6. Step 6: Final answer
    x = 429.10

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