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Finding the Fourth Proportional to 590.84, 885.96 and 344.12

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Solution

The fourth proportional to 590.84, 885.96 and 344.12 is: 516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.84 : 885.96 = 344.12 : x
  2. Step 2: Convert to fraction form
    590.84/885.96 = 344.12/x
  3. Step 3: Cross multiply
    590.84x = 885.96 × 344.12
  4. Step 4: Simplify right side
    590.84x = 304,878.77
  5. Step 5: Solve for x
    x = 304,878.77/590.84
  6. Step 6: Final answer
    x = 516.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.