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Finding the Fourth Proportional to 607.38, 838.14 and 345.39

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Solution

The fourth proportional to 607.38, 838.14 and 345.39 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.38 : 838.14 = 345.39 : x
  2. Step 2: Convert to fraction form
    607.38/838.14 = 345.39/x
  3. Step 3: Cross multiply
    607.38x = 838.14 × 345.39
  4. Step 4: Simplify right side
    607.38x = 289,485.17
  5. Step 5: Solve for x
    x = 289,485.17/607.38
  6. Step 6: Final answer
    x = 476.61

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Half scale
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Double scale
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1.5x scale

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.