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Finding the Fourth Proportional to 607.88, 838.95 and 345.98

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Solution

The fourth proportional to 607.88, 838.95 and 345.98 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.88 : 838.95 = 345.98 : x
  2. Step 2: Convert to fraction form
    607.88/838.95 = 345.98/x
  3. Step 3: Cross multiply
    607.88x = 838.95 × 345.98
  4. Step 4: Simplify right side
    607.88x = 290,259.92
  5. Step 5: Solve for x
    x = 290,259.92/607.88
  6. Step 6: Final answer
    x = 477.50

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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.