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Finding the Fourth Proportional to 472.82, 652.78 and 315.58

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Solution

The fourth proportional to 472.82, 652.78 and 315.58 is: 435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.82 : 652.78 = 315.58 : x
  2. Step 2: Convert to fraction form
    472.82/652.78 = 315.58/x
  3. Step 3: Cross multiply
    472.82x = 652.78 × 315.58
  4. Step 4: Simplify right side
    472.82x = 206,004.31
  5. Step 5: Solve for x
    x = 206,004.31/472.82
  6. Step 6: Final answer
    x = 435.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.