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Finding the Fourth Proportional to 571.02, 856.62 and 297.06

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Solution

The fourth proportional to 571.02, 856.62 and 297.06 is: 445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.02 : 856.62 = 297.06 : x
  2. Step 2: Convert to fraction form
    571.02/856.62 = 297.06/x
  3. Step 3: Cross multiply
    571.02x = 856.62 × 297.06
  4. Step 4: Simplify right side
    571.02x = 254,467.54
  5. Step 5: Solve for x
    x = 254,467.54/571.02
  6. Step 6: Final answer
    x = 445.64

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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.