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Finding the Fourth Proportional to 394.16, 590.51 and 256.91

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Solution

The fourth proportional to 394.16, 590.51 and 256.91 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 590.51 = 256.91 : x
  2. Step 2: Convert to fraction form
    394.16/590.51 = 256.91/x
  3. Step 3: Cross multiply
    394.16x = 590.51 × 256.91
  4. Step 4: Simplify right side
    394.16x = 151,705.61
  5. Step 5: Solve for x
    x = 151,705.61/394.16
  6. Step 6: Final answer
    x = 384.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.