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Finding the Fourth Proportional to 607.53, 837.22 and 410.70

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Solution

The fourth proportional to 607.53, 837.22 and 410.70 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.53 : 837.22 = 410.70 : x
  2. Step 2: Convert to fraction form
    607.53/837.22 = 410.70/x
  3. Step 3: Cross multiply
    607.53x = 837.22 × 410.70
  4. Step 4: Simplify right side
    607.53x = 343,846.25
  5. Step 5: Solve for x
    x = 343,846.25/607.53
  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.