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Finding the Fourth Proportional to 410.84, 565.80 and 361.70

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Solution

The fourth proportional to 410.84, 565.80 and 361.70 is: 498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 565.80 = 361.70 : x
  2. Step 2: Convert to fraction form
    410.84/565.80 = 361.70/x
  3. Step 3: Cross multiply
    410.84x = 565.80 × 361.70
  4. Step 4: Simplify right side
    410.84x = 204,649.86
  5. Step 5: Solve for x
    x = 204,649.86/410.84
  6. Step 6: Final answer
    x = 498.13

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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.