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Finding the Fourth Proportional to 582.52, 877.27 and 525.48

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Solution

The fourth proportional to 582.52, 877.27 and 525.48 is: 791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 877.27 = 525.48 : x
  2. Step 2: Convert to fraction form
    582.52/877.27 = 525.48/x
  3. Step 3: Cross multiply
    582.52x = 877.27 × 525.48
  4. Step 4: Simplify right side
    582.52x = 460,987.84
  5. Step 5: Solve for x
    x = 460,987.84/582.52
  6. Step 6: Final answer
    x = 791.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.