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Finding the Fourth Proportional to 410.05, 565.88 and 311.63

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Solution

The fourth proportional to 410.05, 565.88 and 311.63 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 565.88 = 311.63 : x
  2. Step 2: Convert to fraction form
    410.05/565.88 = 311.63/x
  3. Step 3: Cross multiply
    410.05x = 565.88 × 311.63
  4. Step 4: Simplify right side
    410.05x = 176,345.18
  5. Step 5: Solve for x
    x = 176,345.18/410.05
  6. Step 6: Final answer
    x = 430.06

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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.