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Finding the Fourth Proportional to 543.57, 750.14 and 310.70

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Solution

The fourth proportional to 543.57, 750.14 and 310.70 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 750.14 = 310.70 : x
  2. Step 2: Convert to fraction form
    543.57/750.14 = 310.70/x
  3. Step 3: Cross multiply
    543.57x = 750.14 × 310.70
  4. Step 4: Simplify right side
    543.57x = 233,068.50
  5. Step 5: Solve for x
    x = 233,068.50/543.57
  6. Step 6: Final answer
    x = 428.77

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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.