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Finding the Fourth Proportional to 573.84, 860.16 and 543.48

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Solution

The fourth proportional to 573.84, 860.16 and 543.48 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 860.16 = 543.48 : x
  2. Step 2: Convert to fraction form
    573.84/860.16 = 543.48/x
  3. Step 3: Cross multiply
    573.84x = 860.16 × 543.48
  4. Step 4: Simplify right side
    573.84x = 467,479.76
  5. Step 5: Solve for x
    x = 467,479.76/573.84
  6. Step 6: Final answer
    x = 814.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.