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Finding the Fourth Proportional to 472.96, 651.80 and 341.74

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Solution

The fourth proportional to 472.96, 651.80 and 341.74 is: 470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.96 : 651.80 = 341.74 : x
  2. Step 2: Convert to fraction form
    472.96/651.80 = 341.74/x
  3. Step 3: Cross multiply
    472.96x = 651.80 × 341.74
  4. Step 4: Simplify right side
    472.96x = 222,746.13
  5. Step 5: Solve for x
    x = 222,746.13/472.96
  6. Step 6: Final answer
    x = 470.96

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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.