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Finding the Fourth Proportional to 427.77, 590.33 and 278.45

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Solution

The fourth proportional to 427.77, 590.33 and 278.45 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.77 : 590.33 = 278.45 : x
  2. Step 2: Convert to fraction form
    427.77/590.33 = 278.45/x
  3. Step 3: Cross multiply
    427.77x = 590.33 × 278.45
  4. Step 4: Simplify right side
    427.77x = 164,376.00
  5. Step 5: Solve for x
    x = 164,376.00/427.77
  6. Step 6: Final answer
    x = 384.26

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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.