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Finding the Fourth Proportional to 582.87, 875.56 and 366.60

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Solution

The fourth proportional to 582.87, 875.56 and 366.60 is: 550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.87 : 875.56 = 366.60 : x
  2. Step 2: Convert to fraction form
    582.87/875.56 = 366.60/x
  3. Step 3: Cross multiply
    582.87x = 875.56 × 366.60
  4. Step 4: Simplify right side
    582.87x = 320,980.30
  5. Step 5: Solve for x
    x = 320,980.30/582.87
  6. Step 6: Final answer
    x = 550.69

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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.