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Finding the Fourth Proportional to 472.82, 652.50 and 263.01

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Solution

The fourth proportional to 472.82, 652.50 and 263.01 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.82 : 652.50 = 263.01 : x
  2. Step 2: Convert to fraction form
    472.82/652.50 = 263.01/x
  3. Step 3: Cross multiply
    472.82x = 652.50 × 263.01
  4. Step 4: Simplify right side
    472.82x = 171,612.71
  5. Step 5: Solve for x
    x = 171,612.71/472.82
  6. Step 6: Final answer
    x = 362.96

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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.