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Finding the Fourth Proportional to 382.16, 526.80 and 299.08

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Solution

The fourth proportional to 382.16, 526.80 and 299.08 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 526.80 = 299.08 : x
  2. Step 2: Convert to fraction form
    382.16/526.80 = 299.08/x
  3. Step 3: Cross multiply
    382.16x = 526.80 × 299.08
  4. Step 4: Simplify right side
    382.16x = 157,555.34
  5. Step 5: Solve for x
    x = 157,555.34/382.16
  6. Step 6: Final answer
    x = 412.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.