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Finding the Fourth Proportional to 571, 856.05 and 297.13

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Solution

The fourth proportional to 571, 856.05 and 297.13 is: 445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    571 : 856.05 = 297.13 : x
  2. Step 2: Convert to fraction form
    571/856.05 = 297.13/x
  3. Step 3: Cross multiply
    571x = 856.05 × 297.13
  4. Step 4: Simplify right side
    571x = 254,358.14
  5. Step 5: Solve for x
    x = 254,358.14/571
  6. Step 6: Final answer
    x = 445.46

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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.