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Finding the Fourth Proportional to 427.80, 590.34 and 278.46

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Solution

The fourth proportional to 427.80, 590.34 and 278.46 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.80 : 590.34 = 278.46 : x
  2. Step 2: Convert to fraction form
    427.80/590.34 = 278.46/x
  3. Step 3: Cross multiply
    427.80x = 590.34 × 278.46
  4. Step 4: Simplify right side
    427.80x = 164,386.08
  5. Step 5: Solve for x
    x = 164,386.08/427.80
  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.