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Finding the Fourth Proportional to 387.66, 578.68 and 360.32

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Solution

The fourth proportional to 387.66, 578.68 and 360.32 is: 537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.66 : 578.68 = 360.32 : x
  2. Step 2: Convert to fraction form
    387.66/578.68 = 360.32/x
  3. Step 3: Cross multiply
    387.66x = 578.68 × 360.32
  4. Step 4: Simplify right side
    387.66x = 208,509.98
  5. Step 5: Solve for x
    x = 208,509.98/387.66
  6. Step 6: Final answer
    x = 537.87

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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.