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Finding the Fourth Proportional to 543.04, 811.04 and 470.14

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Solution

The fourth proportional to 543.04, 811.04 and 470.14 is: 702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 811.04 = 470.14 : x
  2. Step 2: Convert to fraction form
    543.04/811.04 = 470.14/x
  3. Step 3: Cross multiply
    543.04x = 811.04 × 470.14
  4. Step 4: Simplify right side
    543.04x = 381,295.94
  5. Step 5: Solve for x
    x = 381,295.94/543.04
  6. Step 6: Final answer
    x = 702.16

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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.