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Finding the Fourth Proportional to 680.16, 938.56 and 400.35

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Solution

The fourth proportional to 680.16, 938.56 and 400.35 is: 552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.16 : 938.56 = 400.35 : x
  2. Step 2: Convert to fraction form
    680.16/938.56 = 400.35/x
  3. Step 3: Cross multiply
    680.16x = 938.56 × 400.35
  4. Step 4: Simplify right side
    680.16x = 375,752.50
  5. Step 5: Solve for x
    x = 375,752.50/680.16
  6. Step 6: Final answer
    x = 552.45

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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.