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Finding the Fourth Proportional to 410.05, 565.49 and 305.40

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Solution

The fourth proportional to 410.05, 565.49 and 305.40 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 565.49 = 305.40 : x
  2. Step 2: Convert to fraction form
    410.05/565.49 = 305.40/x
  3. Step 3: Cross multiply
    410.05x = 565.49 × 305.40
  4. Step 4: Simplify right side
    410.05x = 172,700.00
  5. Step 5: Solve for x
    x = 172,700.00/410.05
  6. Step 6: Final answer
    x = 421.17

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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.