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Finding the Fourth Proportional to 474.49, 711.42 and 258.22

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Solution

The fourth proportional to 474.49, 711.42 and 258.22 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.49 : 711.42 = 258.22 : x
  2. Step 2: Convert to fraction form
    474.49/711.42 = 258.22/x
  3. Step 3: Cross multiply
    474.49x = 711.42 × 258.22
  4. Step 4: Simplify right side
    474.49x = 183,702.87
  5. Step 5: Solve for x
    x = 183,702.87/474.49
  6. Step 6: Final answer
    x = 387.16

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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.