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Finding the Fourth Proportional to 474.88, 711.51 and 258.07

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Solution

The fourth proportional to 474.88, 711.51 and 258.07 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 711.51 = 258.07 : x
  2. Step 2: Convert to fraction form
    474.88/711.51 = 258.07/x
  3. Step 3: Cross multiply
    474.88x = 711.51 × 258.07
  4. Step 4: Simplify right side
    474.88x = 183,619.39
  5. Step 5: Solve for x
    x = 183,619.39/474.88
  6. Step 6: Final answer
    x = 386.66

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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.