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Finding the Fourth Proportional to 590.46, 814.56 and 543.07

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Solution

The fourth proportional to 590.46, 814.56 and 543.07 is: 749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.46 : 814.56 = 543.07 : x
  2. Step 2: Convert to fraction form
    590.46/814.56 = 543.07/x
  3. Step 3: Cross multiply
    590.46x = 814.56 × 543.07
  4. Step 4: Simplify right side
    590.46x = 442,362.08
  5. Step 5: Solve for x
    x = 442,362.08/590.46
  6. Step 6: Final answer
    x = 749.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.