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Finding the Fourth Proportional to 607.69, 838.62 and 345.72

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Solution

The fourth proportional to 607.69, 838.62 and 345.72 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.69 : 838.62 = 345.72 : x
  2. Step 2: Convert to fraction form
    607.69/838.62 = 345.72/x
  3. Step 3: Cross multiply
    607.69x = 838.62 × 345.72
  4. Step 4: Simplify right side
    607.69x = 289,925.98
  5. Step 5: Solve for x
    x = 289,925.98/607.69
  6. Step 6: Final answer
    x = 477.10

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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.