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Finding the Fourth Proportional to 678.71, 937.44 and 430.25

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Solution

The fourth proportional to 678.71, 937.44 and 430.25 is: 594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.71 : 937.44 = 430.25 : x
  2. Step 2: Convert to fraction form
    678.71/937.44 = 430.25/x
  3. Step 3: Cross multiply
    678.71x = 937.44 × 430.25
  4. Step 4: Simplify right side
    678.71x = 403,328.87
  5. Step 5: Solve for x
    x = 403,328.87/678.71
  6. Step 6: Final answer
    x = 594.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.