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Finding the Fourth Proportional to 410.67, 566.33 and 278.00

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Solution

The fourth proportional to 410.67, 566.33 and 278.00 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 566.33 = 278.00 : x
  2. Step 2: Convert to fraction form
    410.67/566.33 = 278.00/x
  3. Step 3: Cross multiply
    410.67x = 566.33 × 278.00
  4. Step 4: Simplify right side
    410.67x = 157,437.64
  5. Step 5: Solve for x
    x = 157,437.64/410.67
  6. Step 6: Final answer
    x = 383.37

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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.