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Finding the Fourth Proportional to 643.44, 887.86 and 434.06

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Solution

The fourth proportional to 643.44, 887.86 and 434.06 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.44 : 887.86 = 434.06 : x
  2. Step 2: Convert to fraction form
    643.44/887.86 = 434.06/x
  3. Step 3: Cross multiply
    643.44x = 887.86 × 434.06
  4. Step 4: Simplify right side
    643.44x = 385,384.51
  5. Step 5: Solve for x
    x = 385,384.51/643.44
  6. Step 6: Final answer
    x = 598.94

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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.