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Finding the Fourth Proportional to 410.09, 565.67 and 311.68

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Solution

The fourth proportional to 410.09, 565.67 and 311.68 is: 429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.09 : 565.67 = 311.68 : x
  2. Step 2: Convert to fraction form
    410.09/565.67 = 311.68/x
  3. Step 3: Cross multiply
    410.09x = 565.67 × 311.68
  4. Step 4: Simplify right side
    410.09x = 176,307.39
  5. Step 5: Solve for x
    x = 176,307.39/410.09
  6. Step 6: Final answer
    x = 429.92

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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.