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Finding the Fourth Proportional to 474.21, 711.32 and 257.74

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Solution

The fourth proportional to 474.21, 711.32 and 257.74 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.21 : 711.32 = 257.74 : x
  2. Step 2: Convert to fraction form
    474.21/711.32 = 257.74/x
  3. Step 3: Cross multiply
    474.21x = 711.32 × 257.74
  4. Step 4: Simplify right side
    474.21x = 183,332.55
  5. Step 5: Solve for x
    x = 183,332.55/474.21
  6. Step 6: Final answer
    x = 386.61

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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.