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Finding the Fourth Proportional to 590.21, 885.45 and 417.21

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Solution

The fourth proportional to 590.21, 885.45 and 417.21 is: 625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.21 : 885.45 = 417.21 : x
  2. Step 2: Convert to fraction form
    590.21/885.45 = 417.21/x
  3. Step 3: Cross multiply
    590.21x = 885.45 × 417.21
  4. Step 4: Simplify right side
    590.21x = 369,418.59
  5. Step 5: Solve for x
    x = 369,418.59/590.21
  6. Step 6: Final answer
    x = 625.91

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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.