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Finding the Fourth Proportional to 474.04, 711.06 and 257.72

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Solution

The fourth proportional to 474.04, 711.06 and 257.72 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.04 : 711.06 = 257.72 : x
  2. Step 2: Convert to fraction form
    474.04/711.06 = 257.72/x
  3. Step 3: Cross multiply
    474.04x = 711.06 × 257.72
  4. Step 4: Simplify right side
    474.04x = 183,254.38
  5. Step 5: Solve for x
    x = 183,254.38/474.04
  6. Step 6: Final answer
    x = 386.58

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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.