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Finding the Fourth Proportional to 410.16, 565.80 and 378

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Solution

The fourth proportional to 410.16, 565.80 and 378 is: 521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 565.80 = 378 : x
  2. Step 2: Convert to fraction form
    410.16/565.80 = 378/x
  3. Step 3: Cross multiply
    410.16x = 565.80 × 378
  4. Step 4: Simplify right side
    410.16x = 213,872.40
  5. Step 5: Solve for x
    x = 213,872.40/410.16
  6. Step 6: Final answer
    x = 521.44

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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.