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Finding the Fourth Proportional to 607.28, 837.38 and 410.45

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Solution

The fourth proportional to 607.28, 837.38 and 410.45 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.28 : 837.38 = 410.45 : x
  2. Step 2: Convert to fraction form
    607.28/837.38 = 410.45/x
  3. Step 3: Cross multiply
    607.28x = 837.38 × 410.45
  4. Step 4: Simplify right side
    607.28x = 343,705.74
  5. Step 5: Solve for x
    x = 343,705.74/607.28
  6. Step 6: Final answer
    x = 565.97

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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.