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Finding the Fourth Proportional to 590.46, 815.10 and 369.56

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Solution

The fourth proportional to 590.46, 815.10 and 369.56 is: 510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.46 : 815.10 = 369.56 : x
  2. Step 2: Convert to fraction form
    590.46/815.10 = 369.56/x
  3. Step 3: Cross multiply
    590.46x = 815.10 × 369.56
  4. Step 4: Simplify right side
    590.46x = 301,228.36
  5. Step 5: Solve for x
    x = 301,228.36/590.46
  6. Step 6: Final answer
    x = 510.16

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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.