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Finding the Fourth Proportional to 427.36, 588.72 and 296.16

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Solution

The fourth proportional to 427.36, 588.72 and 296.16 is: 407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.36 : 588.72 = 296.16 : x
  2. Step 2: Convert to fraction form
    427.36/588.72 = 296.16/x
  3. Step 3: Cross multiply
    427.36x = 588.72 × 296.16
  4. Step 4: Simplify right side
    427.36x = 174,355.32
  5. Step 5: Solve for x
    x = 174,355.32/427.36
  6. Step 6: Final answer
    x = 407.98

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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.