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Finding the Fourth Proportional to 383.24, 570.70 and 382.16

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Solution

The fourth proportional to 383.24, 570.70 and 382.16 is: 569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 570.70 = 382.16 : x
  2. Step 2: Convert to fraction form
    383.24/570.70 = 382.16/x
  3. Step 3: Cross multiply
    383.24x = 570.70 × 382.16
  4. Step 4: Simplify right side
    383.24x = 218,098.71
  5. Step 5: Solve for x
    x = 218,098.71/383.24
  6. Step 6: Final answer
    x = 569.09

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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.