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Finding the Fourth Proportional to 467.52, 698.26 and 376.40

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Solution

The fourth proportional to 467.52, 698.26 and 376.40 is: 562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 698.26 = 376.40 : x
  2. Step 2: Convert to fraction form
    467.52/698.26 = 376.40/x
  3. Step 3: Cross multiply
    467.52x = 698.26 × 376.40
  4. Step 4: Simplify right side
    467.52x = 262,825.06
  5. Step 5: Solve for x
    x = 262,825.06/467.52
  6. Step 6: Final answer
    x = 562.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.