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Finding the Fourth Proportional to 607.60, 838.46 and 411.08

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Solution

The fourth proportional to 607.60, 838.46 and 411.08 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.60 : 838.46 = 411.08 : x
  2. Step 2: Convert to fraction form
    607.60/838.46 = 411.08/x
  3. Step 3: Cross multiply
    607.60x = 838.46 × 411.08
  4. Step 4: Simplify right side
    607.60x = 344,674.14
  5. Step 5: Solve for x
    x = 344,674.14/607.60
  6. Step 6: Final answer
    x = 567.27

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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.