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Finding the Fourth Proportional to 656.91, 906.84 and 394.88

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Solution

The fourth proportional to 656.91, 906.84 and 394.88 is: 545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.91 : 906.84 = 394.88 : x
  2. Step 2: Convert to fraction form
    656.91/906.84 = 394.88/x
  3. Step 3: Cross multiply
    656.91x = 906.84 × 394.88
  4. Step 4: Simplify right side
    656.91x = 358,088.45
  5. Step 5: Solve for x
    x = 358,088.45/656.91
  6. Step 6: Final answer
    x = 545.11

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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.