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Finding the Fourth Proportional to 356.84, 492.55 and 301.86

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Solution

The fourth proportional to 356.84, 492.55 and 301.86 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.84 : 492.55 = 301.86 : x
  2. Step 2: Convert to fraction form
    356.84/492.55 = 301.86/x
  3. Step 3: Cross multiply
    356.84x = 492.55 × 301.86
  4. Step 4: Simplify right side
    356.84x = 148,680.39
  5. Step 5: Solve for x
    x = 148,680.39/356.84
  6. Step 6: Final answer
    x = 416.66

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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.