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Finding the Fourth Proportional to 573.52, 788.02 and 548.08

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Solution

The fourth proportional to 573.52, 788.02 and 548.08 is: 753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.52 : 788.02 = 548.08 : x
  2. Step 2: Convert to fraction form
    573.52/788.02 = 548.08/x
  3. Step 3: Cross multiply
    573.52x = 788.02 × 548.08
  4. Step 4: Simplify right side
    573.52x = 431,898.00
  5. Step 5: Solve for x
    x = 431,898.00/573.52
  6. Step 6: Final answer
    x = 753.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.