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Finding the Fourth Proportional to 582.63, 875.19 and 366.36

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Solution

The fourth proportional to 582.63, 875.19 and 366.36 is: 550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.63 : 875.19 = 366.36 : x
  2. Step 2: Convert to fraction form
    582.63/875.19 = 366.36/x
  3. Step 3: Cross multiply
    582.63x = 875.19 × 366.36
  4. Step 4: Simplify right side
    582.63x = 320,634.61
  5. Step 5: Solve for x
    x = 320,634.61/582.63
  6. Step 6: Final answer
    x = 550.32

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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.