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Finding the Fourth Proportional to 427.77, 588.78 and 365.40

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Solution

The fourth proportional to 427.77, 588.78 and 365.40 is: 502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.77 : 588.78 = 365.40 : x
  2. Step 2: Convert to fraction form
    427.77/588.78 = 365.40/x
  3. Step 3: Cross multiply
    427.77x = 588.78 × 365.40
  4. Step 4: Simplify right side
    427.77x = 215,140.21
  5. Step 5: Solve for x
    x = 215,140.21/427.77
  6. Step 6: Final answer
    x = 502.93

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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.