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Finding the Fourth Proportional to 410.11, 565.81 and 278.89

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Solution

The fourth proportional to 410.11, 565.81 and 278.89 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.11 : 565.81 = 278.89 : x
  2. Step 2: Convert to fraction form
    410.11/565.81 = 278.89/x
  3. Step 3: Cross multiply
    410.11x = 565.81 × 278.89
  4. Step 4: Simplify right side
    410.11x = 157,798.75
  5. Step 5: Solve for x
    x = 157,798.75/410.11
  6. Step 6: Final answer
    x = 384.77

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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.