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Finding the Fourth Proportional to 590.64, 885.19 and 261.66

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Solution

The fourth proportional to 590.64, 885.19 and 261.66 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 885.19 = 261.66 : x
  2. Step 2: Convert to fraction form
    590.64/885.19 = 261.66/x
  3. Step 3: Cross multiply
    590.64x = 885.19 × 261.66
  4. Step 4: Simplify right side
    590.64x = 231,618.82
  5. Step 5: Solve for x
    x = 231,618.82/590.64
  6. Step 6: Final answer
    x = 392.15

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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.