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Finding the Fourth Proportional to 377.64, 565.92 and 345.06

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Solution

The fourth proportional to 377.64, 565.92 and 345.06 is: 517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.64 : 565.92 = 345.06 : x
  2. Step 2: Convert to fraction form
    377.64/565.92 = 345.06/x
  3. Step 3: Cross multiply
    377.64x = 565.92 × 345.06
  4. Step 4: Simplify right side
    377.64x = 195,276.36
  5. Step 5: Solve for x
    x = 195,276.36/377.64
  6. Step 6: Final answer
    x = 517.10

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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.