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Finding the Fourth Proportional to 543.76, 750.46 and 310.90

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Solution

The fourth proportional to 543.76, 750.46 and 310.90 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.76 : 750.46 = 310.90 : x
  2. Step 2: Convert to fraction form
    543.76/750.46 = 310.90/x
  3. Step 3: Cross multiply
    543.76x = 750.46 × 310.90
  4. Step 4: Simplify right side
    543.76x = 233,318.01
  5. Step 5: Solve for x
    x = 233,318.01/543.76
  6. Step 6: Final answer
    x = 429.08

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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.