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Finding the Fourth Proportional to 425.88, 588.08 and 412.12

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Solution

The fourth proportional to 425.88, 588.08 and 412.12 is: 569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.88 : 588.08 = 412.12 : x
  2. Step 2: Convert to fraction form
    425.88/588.08 = 412.12/x
  3. Step 3: Cross multiply
    425.88x = 588.08 × 412.12
  4. Step 4: Simplify right side
    425.88x = 242,359.53
  5. Step 5: Solve for x
    x = 242,359.53/425.88
  6. Step 6: Final answer
    x = 569.08

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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.