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Finding the Fourth Proportional to 473.94, 711.13 and 257.50

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Solution

The fourth proportional to 473.94, 711.13 and 257.50 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 711.13 = 257.50 : x
  2. Step 2: Convert to fraction form
    473.94/711.13 = 257.50/x
  3. Step 3: Cross multiply
    473.94x = 711.13 × 257.50
  4. Step 4: Simplify right side
    473.94x = 183,115.98
  5. Step 5: Solve for x
    x = 183,115.98/473.94
  6. Step 6: Final answer
    x = 386.37

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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.