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Finding the Fourth Proportional to 385.40, 575.82 and 297.04

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Solution

The fourth proportional to 385.40, 575.82 and 297.04 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.40 : 575.82 = 297.04 : x
  2. Step 2: Convert to fraction form
    385.40/575.82 = 297.04/x
  3. Step 3: Cross multiply
    385.40x = 575.82 × 297.04
  4. Step 4: Simplify right side
    385.40x = 171,041.57
  5. Step 5: Solve for x
    x = 171,041.57/385.40
  6. Step 6: Final answer
    x = 443.80

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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.