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Finding the Fourth Proportional to 607.30, 838.05 and 371.16

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Solution

The fourth proportional to 607.30, 838.05 and 371.16 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.30 : 838.05 = 371.16 : x
  2. Step 2: Convert to fraction form
    607.30/838.05 = 371.16/x
  3. Step 3: Cross multiply
    607.30x = 838.05 × 371.16
  4. Step 4: Simplify right side
    607.30x = 311,050.82
  5. Step 5: Solve for x
    x = 311,050.82/607.30
  6. Step 6: Final answer
    x = 512.19

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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.