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Finding the Fourth Proportional to 582.52, 869.54 and 506.04

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Solution

The fourth proportional to 582.52, 869.54 and 506.04 is: 755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 869.54 = 506.04 : x
  2. Step 2: Convert to fraction form
    582.52/869.54 = 506.04/x
  3. Step 3: Cross multiply
    582.52x = 869.54 × 506.04
  4. Step 4: Simplify right side
    582.52x = 440,022.02
  5. Step 5: Solve for x
    x = 440,022.02/582.52
  6. Step 6: Final answer
    x = 755.38

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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.