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Finding the Fourth Proportional to 379.09, 565.66 and 355.87

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Solution

The fourth proportional to 379.09, 565.66 and 355.87 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.09 : 565.66 = 355.87 : x
  2. Step 2: Convert to fraction form
    379.09/565.66 = 355.87/x
  3. Step 3: Cross multiply
    379.09x = 565.66 × 355.87
  4. Step 4: Simplify right side
    379.09x = 201,303.58
  5. Step 5: Solve for x
    x = 201,303.58/379.09
  6. Step 6: Final answer
    x = 531.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.