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Finding the Fourth Proportional to 491.43, 678.35 and 356.91

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Solution

The fourth proportional to 491.43, 678.35 and 356.91 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.43 : 678.35 = 356.91 : x
  2. Step 2: Convert to fraction form
    491.43/678.35 = 356.91/x
  3. Step 3: Cross multiply
    491.43x = 678.35 × 356.91
  4. Step 4: Simplify right side
    491.43x = 242,108.11
  5. Step 5: Solve for x
    x = 242,108.11/491.43
  6. Step 6: Final answer
    x = 492.66

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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.