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Finding the Fourth Proportional to 592.50, 817.59 and 330.47

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Solution

The fourth proportional to 592.50, 817.59 and 330.47 is: 456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.50 : 817.59 = 330.47 : x
  2. Step 2: Convert to fraction form
    592.50/817.59 = 330.47/x
  3. Step 3: Cross multiply
    592.50x = 817.59 × 330.47
  4. Step 4: Simplify right side
    592.50x = 270,188.97
  5. Step 5: Solve for x
    x = 270,188.97/592.50
  6. Step 6: Final answer
    x = 456.02

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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.