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Finding the Fourth Proportional to 590.84, 885.31 and 347.57

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Solution

The fourth proportional to 590.84, 885.31 and 347.57 is: 520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.84 : 885.31 = 347.57 : x
  2. Step 2: Convert to fraction form
    590.84/885.31 = 347.57/x
  3. Step 3: Cross multiply
    590.84x = 885.31 × 347.57
  4. Step 4: Simplify right side
    590.84x = 307,707.20
  5. Step 5: Solve for x
    x = 307,707.20/590.84
  6. Step 6: Final answer
    x = 520.80

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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.