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Finding the Fourth Proportional to 379.79, 566.90 and 288.06

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Solution

The fourth proportional to 379.79, 566.90 and 288.06 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.79 : 566.90 = 288.06 : x
  2. Step 2: Convert to fraction form
    379.79/566.90 = 288.06/x
  3. Step 3: Cross multiply
    379.79x = 566.90 × 288.06
  4. Step 4: Simplify right side
    379.79x = 163,298.73
  5. Step 5: Solve for x
    x = 163,298.73/379.79
  6. Step 6: Final answer
    x = 429.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.