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Finding the Fourth Proportional to 543.65, 811.67 and 470.43

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Solution

The fourth proportional to 543.65, 811.67 and 470.43 is: 702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.65 : 811.67 = 470.43 : x
  2. Step 2: Convert to fraction form
    543.65/811.67 = 470.43/x
  3. Step 3: Cross multiply
    543.65x = 811.67 × 470.43
  4. Step 4: Simplify right side
    543.65x = 381,831.57
  5. Step 5: Solve for x
    x = 381,831.57/543.65
  6. Step 6: Final answer
    x = 702.35

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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.