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Finding the Fourth Proportional to 585.50, 876.05 and 363.18

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Solution

The fourth proportional to 585.50, 876.05 and 363.18 is: 543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 876.05 = 363.18 : x
  2. Step 2: Convert to fraction form
    585.50/876.05 = 363.18/x
  3. Step 3: Cross multiply
    585.50x = 876.05 × 363.18
  4. Step 4: Simplify right side
    585.50x = 318,166.67
  5. Step 5: Solve for x
    x = 318,166.67/585.50
  6. Step 6: Final answer
    x = 543.41

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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.