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Finding the Fourth Proportional to 543.91, 750.86 and 310.99

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Solution

The fourth proportional to 543.91, 750.86 and 310.99 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.91 : 750.86 = 310.99 : x
  2. Step 2: Convert to fraction form
    543.91/750.86 = 310.99/x
  3. Step 3: Cross multiply
    543.91x = 750.86 × 310.99
  4. Step 4: Simplify right side
    543.91x = 233,509.95
  5. Step 5: Solve for x
    x = 233,509.95/543.91
  6. Step 6: Final answer
    x = 429.32

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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.