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Finding the Fourth Proportional to 582.50, 875 and 366.23

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Solution

The fourth proportional to 582.50, 875 and 366.23 is: 550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 875 = 366.23 : x
  2. Step 2: Convert to fraction form
    582.50/875 = 366.23/x
  3. Step 3: Cross multiply
    582.50x = 875 × 366.23
  4. Step 4: Simplify right side
    582.50x = 320,451.25
  5. Step 5: Solve for x
    x = 320,451.25/582.50
  6. Step 6: Final answer
    x = 550.13

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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.