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Finding the Fourth Proportional to 543.49, 811.75 and 470.59

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Solution

The fourth proportional to 543.49, 811.75 and 470.59 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.49 : 811.75 = 470.59 : x
  2. Step 2: Convert to fraction form
    543.49/811.75 = 470.59/x
  3. Step 3: Cross multiply
    543.49x = 811.75 × 470.59
  4. Step 4: Simplify right side
    543.49x = 381,998.23
  5. Step 5: Solve for x
    x = 381,998.23/543.49
  6. Step 6: Final answer
    x = 702.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.