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Finding the Fourth Proportional to 285.66, 429.39 and 256.91

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Solution

The fourth proportional to 285.66, 429.39 and 256.91 is: 386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 429.39 = 256.91 : x
  2. Step 2: Convert to fraction form
    285.66/429.39 = 256.91/x
  3. Step 3: Cross multiply
    285.66x = 429.39 × 256.91
  4. Step 4: Simplify right side
    285.66x = 110,312.44
  5. Step 5: Solve for x
    x = 110,312.44/285.66
  6. Step 6: Final answer
    x = 386.17

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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.