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Finding the Fourth Proportional to 426.88, 590.64 and 375.28

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Solution

The fourth proportional to 426.88, 590.64 and 375.28 is: 519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.88 : 590.64 = 375.28 : x
  2. Step 2: Convert to fraction form
    426.88/590.64 = 375.28/x
  3. Step 3: Cross multiply
    426.88x = 590.64 × 375.28
  4. Step 4: Simplify right side
    426.88x = 221,655.38
  5. Step 5: Solve for x
    x = 221,655.38/426.88
  6. Step 6: Final answer
    x = 519.25

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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.