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Finding the Fourth Proportional to 607.42, 838.28 and 345.45

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Solution

The fourth proportional to 607.42, 838.28 and 345.45 is: 476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.42 : 838.28 = 345.45 : x
  2. Step 2: Convert to fraction form
    607.42/838.28 = 345.45/x
  3. Step 3: Cross multiply
    607.42x = 838.28 × 345.45
  4. Step 4: Simplify right side
    607.42x = 289,587.83
  5. Step 5: Solve for x
    x = 289,587.83/607.42
  6. Step 6: Final answer
    x = 476.75

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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.