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Finding the Fourth Proportional to 590.52, 890.13 and 538.68

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Solution

The fourth proportional to 590.52, 890.13 and 538.68 is: 811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 890.13 = 538.68 : x
  2. Step 2: Convert to fraction form
    590.52/890.13 = 538.68/x
  3. Step 3: Cross multiply
    590.52x = 890.13 × 538.68
  4. Step 4: Simplify right side
    590.52x = 479,495.23
  5. Step 5: Solve for x
    x = 479,495.23/590.52
  6. Step 6: Final answer
    x = 811.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.