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Finding the Fourth Proportional to 342.86, 472.88 and 303.56

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Solution

The fourth proportional to 342.86, 472.88 and 303.56 is: 418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 472.88 = 303.56 : x
  2. Step 2: Convert to fraction form
    342.86/472.88 = 303.56/x
  3. Step 3: Cross multiply
    342.86x = 472.88 × 303.56
  4. Step 4: Simplify right side
    342.86x = 143,547.45
  5. Step 5: Solve for x
    x = 143,547.45/342.86
  6. Step 6: Final answer
    x = 418.68

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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.