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Finding the Fourth Proportional to 590.60, 815.08 and 369.76

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Solution

The fourth proportional to 590.60, 815.08 and 369.76 is: 510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.60 : 815.08 = 369.76 : x
  2. Step 2: Convert to fraction form
    590.60/815.08 = 369.76/x
  3. Step 3: Cross multiply
    590.60x = 815.08 × 369.76
  4. Step 4: Simplify right side
    590.60x = 301,383.98
  5. Step 5: Solve for x
    x = 301,383.98/590.60
  6. Step 6: Final answer
    x = 510.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.