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Finding the Fourth Proportional to 587.39, 885.41 and 538.10

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Solution

The fourth proportional to 587.39, 885.41 and 538.10 is: 811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.39 : 885.41 = 538.10 : x
  2. Step 2: Convert to fraction form
    587.39/885.41 = 538.10/x
  3. Step 3: Cross multiply
    587.39x = 885.41 × 538.10
  4. Step 4: Simplify right side
    587.39x = 476,434.69
  5. Step 5: Solve for x
    x = 476,434.69/587.39
  6. Step 6: Final answer
    x = 811.10

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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.