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Finding the Fourth Proportional to 474.11, 710.71 and 350.18

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Solution

The fourth proportional to 474.11, 710.71 and 350.18 is: 524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.11 : 710.71 = 350.18 : x
  2. Step 2: Convert to fraction form
    474.11/710.71 = 350.18/x
  3. Step 3: Cross multiply
    474.11x = 710.71 × 350.18
  4. Step 4: Simplify right side
    474.11x = 248,874.66
  5. Step 5: Solve for x
    x = 248,874.66/474.11
  6. Step 6: Final answer
    x = 524.93

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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.