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Finding the Fourth Proportional to 472.24, 651.47 and 314.83

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Solution

The fourth proportional to 472.24, 651.47 and 314.83 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 651.47 = 314.83 : x
  2. Step 2: Convert to fraction form
    472.24/651.47 = 314.83/x
  3. Step 3: Cross multiply
    472.24x = 651.47 × 314.83
  4. Step 4: Simplify right side
    472.24x = 205,102.30
  5. Step 5: Solve for x
    x = 205,102.30/472.24
  6. Step 6: Final answer
    x = 434.32

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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.