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Finding the Fourth Proportional to 585.29, 811.39 and 554.07

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Solution

The fourth proportional to 585.29, 811.39 and 554.07 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 811.39 = 554.07 : x
  2. Step 2: Convert to fraction form
    585.29/811.39 = 554.07/x
  3. Step 3: Cross multiply
    585.29x = 811.39 × 554.07
  4. Step 4: Simplify right side
    585.29x = 449,570.59
  5. Step 5: Solve for x
    x = 449,570.59/585.29
  6. Step 6: Final answer
    x = 768.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.