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Finding the Fourth Proportional to 607.29, 838.65 and 584.73

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Solution

The fourth proportional to 607.29, 838.65 and 584.73 is: 807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.29 : 838.65 = 584.73 : x
  2. Step 2: Convert to fraction form
    607.29/838.65 = 584.73/x
  3. Step 3: Cross multiply
    607.29x = 838.65 × 584.73
  4. Step 4: Simplify right side
    607.29x = 490,383.81
  5. Step 5: Solve for x
    x = 490,383.81/607.29
  6. Step 6: Final answer
    x = 807.50

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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.