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Finding the Fourth Proportional to 472.44, 651.60 and 314.79

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Solution

The fourth proportional to 472.44, 651.60 and 314.79 is: 434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 651.60 = 314.79 : x
  2. Step 2: Convert to fraction form
    472.44/651.60 = 314.79/x
  3. Step 3: Cross multiply
    472.44x = 651.60 × 314.79
  4. Step 4: Simplify right side
    472.44x = 205,117.16
  5. Step 5: Solve for x
    x = 205,117.16/472.44
  6. Step 6: Final answer
    x = 434.17

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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.