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Finding the Fourth Proportional to 543.50, 750.05 and 310.62

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Solution

The fourth proportional to 543.50, 750.05 and 310.62 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 750.05 = 310.62 : x
  2. Step 2: Convert to fraction form
    543.50/750.05 = 310.62/x
  3. Step 3: Cross multiply
    543.50x = 750.05 × 310.62
  4. Step 4: Simplify right side
    543.50x = 232,980.53
  5. Step 5: Solve for x
    x = 232,980.53/543.50
  6. Step 6: Final answer
    x = 428.67

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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.