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Finding the Fourth Proportional to 472.90, 652.63 and 263.09

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Solution

The fourth proportional to 472.90, 652.63 and 263.09 is: 363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.90 : 652.63 = 263.09 : x
  2. Step 2: Convert to fraction form
    472.90/652.63 = 263.09/x
  3. Step 3: Cross multiply
    472.90x = 652.63 × 263.09
  4. Step 4: Simplify right side
    472.90x = 171,699.45
  5. Step 5: Solve for x
    x = 171,699.45/472.90
  6. Step 6: Final answer
    x = 363.08

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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.