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Finding the Fourth Proportional to 592.70, 816.52 and 415.33

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Solution

The fourth proportional to 592.70, 816.52 and 415.33 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.70 : 816.52 = 415.33 : x
  2. Step 2: Convert to fraction form
    592.70/816.52 = 415.33/x
  3. Step 3: Cross multiply
    592.70x = 816.52 × 415.33
  4. Step 4: Simplify right side
    592.70x = 339,125.25
  5. Step 5: Solve for x
    x = 339,125.25/592.70
  6. Step 6: Final answer
    x = 572.17

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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.