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Finding the Fourth Proportional to 385.10, 575.93 and 342.05

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Solution

The fourth proportional to 385.10, 575.93 and 342.05 is: 511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 575.93 = 342.05 : x
  2. Step 2: Convert to fraction form
    385.10/575.93 = 342.05/x
  3. Step 3: Cross multiply
    385.10x = 575.93 × 342.05
  4. Step 4: Simplify right side
    385.10x = 196,994.83
  5. Step 5: Solve for x
    x = 196,994.83/385.10
  6. Step 6: Final answer
    x = 511.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.