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Finding the Fourth Proportional to 571.64, 857.10 and 297.86

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Solution

The fourth proportional to 571.64, 857.10 and 297.86 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.64 : 857.10 = 297.86 : x
  2. Step 2: Convert to fraction form
    571.64/857.10 = 297.86/x
  3. Step 3: Cross multiply
    571.64x = 857.10 × 297.86
  4. Step 4: Simplify right side
    571.64x = 255,295.81
  5. Step 5: Solve for x
    x = 255,295.81/571.64
  6. Step 6: Final answer
    x = 446.60

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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.