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Finding the Fourth Proportional to 590.34, 885.30 and 407.82

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Solution

The fourth proportional to 590.34, 885.30 and 407.82 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 885.30 = 407.82 : x
  2. Step 2: Convert to fraction form
    590.34/885.30 = 407.82/x
  3. Step 3: Cross multiply
    590.34x = 885.30 × 407.82
  4. Step 4: Simplify right side
    590.34x = 361,043.05
  5. Step 5: Solve for x
    x = 361,043.05/590.34
  6. Step 6: Final answer
    x = 611.58

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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.