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Finding the Fourth Proportional to 382.16, 570.90 and 375.68

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Solution

The fourth proportional to 382.16, 570.90 and 375.68 is: 561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 570.90 = 375.68 : x
  2. Step 2: Convert to fraction form
    382.16/570.90 = 375.68/x
  3. Step 3: Cross multiply
    382.16x = 570.90 × 375.68
  4. Step 4: Simplify right side
    382.16x = 214,475.71
  5. Step 5: Solve for x
    x = 214,475.71/382.16
  6. Step 6: Final answer
    x = 561.22

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Why These Related Problems?

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