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Finding the Fourth Proportional to 378.90, 565.11 and 340.02

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Solution

The fourth proportional to 378.90, 565.11 and 340.02 is: 507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.90 : 565.11 = 340.02 : x
  2. Step 2: Convert to fraction form
    378.90/565.11 = 340.02/x
  3. Step 3: Cross multiply
    378.90x = 565.11 × 340.02
  4. Step 4: Simplify right side
    378.90x = 192,148.70
  5. Step 5: Solve for x
    x = 192,148.70/378.90
  6. Step 6: Final answer
    x = 507.12

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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.