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Finding the Fourth Proportional to 571.74, 856.23 and 365.68

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Solution

The fourth proportional to 571.74, 856.23 and 365.68 is: 547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 856.23 = 365.68 : x
  2. Step 2: Convert to fraction form
    571.74/856.23 = 365.68/x
  3. Step 3: Cross multiply
    571.74x = 856.23 × 365.68
  4. Step 4: Simplify right side
    571.74x = 313,106.19
  5. Step 5: Solve for x
    x = 313,106.19/571.74
  6. Step 6: Final answer
    x = 547.64

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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.