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Finding the Fourth Proportional to 607.60, 838.23 and 358.90

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Solution

The fourth proportional to 607.60, 838.23 and 358.90 is: 495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.60 : 838.23 = 358.90 : x
  2. Step 2: Convert to fraction form
    607.60/838.23 = 358.90/x
  3. Step 3: Cross multiply
    607.60x = 838.23 × 358.90
  4. Step 4: Simplify right side
    607.60x = 300,840.75
  5. Step 5: Solve for x
    x = 300,840.75/607.60
  6. Step 6: Final answer
    x = 495.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.