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Finding the Fourth Proportional to 590.57, 815.30 and 369.60

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Solution

The fourth proportional to 590.57, 815.30 and 369.60 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.57 : 815.30 = 369.60 : x
  2. Step 2: Convert to fraction form
    590.57/815.30 = 369.60/x
  3. Step 3: Cross multiply
    590.57x = 815.30 × 369.60
  4. Step 4: Simplify right side
    590.57x = 301,334.88
  5. Step 5: Solve for x
    x = 301,334.88/590.57
  6. Step 6: Final answer
    x = 510.24

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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.