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Finding the Fourth Proportional to 607.66, 838.54 and 345.76

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Solution

The fourth proportional to 607.66, 838.54 and 345.76 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.66 : 838.54 = 345.76 : x
  2. Step 2: Convert to fraction form
    607.66/838.54 = 345.76/x
  3. Step 3: Cross multiply
    607.66x = 838.54 × 345.76
  4. Step 4: Simplify right side
    607.66x = 289,933.59
  5. Step 5: Solve for x
    x = 289,933.59/607.66
  6. Step 6: Final answer
    x = 477.13

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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.