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Finding the Fourth Proportional to 472.32, 706.93 and 350.82

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Solution

The fourth proportional to 472.32, 706.93 and 350.82 is: 525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 706.93 = 350.82 : x
  2. Step 2: Convert to fraction form
    472.32/706.93 = 350.82/x
  3. Step 3: Cross multiply
    472.32x = 706.93 × 350.82
  4. Step 4: Simplify right side
    472.32x = 248,004.31
  5. Step 5: Solve for x
    x = 248,004.31/472.32
  6. Step 6: Final answer
    x = 525.08

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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.