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Finding the Fourth Proportional to 628.49, 941.87 and 535.46

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Solution

The fourth proportional to 628.49, 941.87 and 535.46 is: 802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.49 : 941.87 = 535.46 : x
  2. Step 2: Convert to fraction form
    628.49/941.87 = 535.46/x
  3. Step 3: Cross multiply
    628.49x = 941.87 × 535.46
  4. Step 4: Simplify right side
    628.49x = 504,333.71
  5. Step 5: Solve for x
    x = 504,333.71/628.49
  6. Step 6: Final answer
    x = 802.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.