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Finding the Fourth Proportional to 472.86, 652.57 and 263.07

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Solution

The fourth proportional to 472.86, 652.57 and 263.07 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.86 : 652.57 = 263.07 : x
  2. Step 2: Convert to fraction form
    472.86/652.57 = 263.07/x
  3. Step 3: Cross multiply
    472.86x = 652.57 × 263.07
  4. Step 4: Simplify right side
    472.86x = 171,670.93
  5. Step 5: Solve for x
    x = 171,670.93/472.86
  6. Step 6: Final answer
    x = 363.05

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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.