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Finding the Fourth Proportional to 472.06, 707.71 and 179.50

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Solution

The fourth proportional to 472.06, 707.71 and 179.50 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 707.71 = 179.50 : x
  2. Step 2: Convert to fraction form
    472.06/707.71 = 179.50/x
  3. Step 3: Cross multiply
    472.06x = 707.71 × 179.50
  4. Step 4: Simplify right side
    472.06x = 127,031.83
  5. Step 5: Solve for x
    x = 127,031.83/472.06
  6. Step 6: Final answer
    x = 269.10

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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.