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Finding the Fourth Proportional to 590.23, 888.81 and 514.11

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Solution

The fourth proportional to 590.23, 888.81 and 514.11 is: 774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.23 : 888.81 = 514.11 : x
  2. Step 2: Convert to fraction form
    590.23/888.81 = 514.11/x
  3. Step 3: Cross multiply
    590.23x = 888.81 × 514.11
  4. Step 4: Simplify right side
    590.23x = 456,939.09
  5. Step 5: Solve for x
    x = 456,939.09/590.23
  6. Step 6: Final answer
    x = 774.17

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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.