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Finding the Fourth Proportional to 607.20, 838.56 and 497.76

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Solution

The fourth proportional to 607.20, 838.56 and 497.76 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.20 : 838.56 = 497.76 : x
  2. Step 2: Convert to fraction form
    607.20/838.56 = 497.76/x
  3. Step 3: Cross multiply
    607.20x = 838.56 × 497.76
  4. Step 4: Simplify right side
    607.20x = 417,401.63
  5. Step 5: Solve for x
    x = 417,401.63/607.20
  6. Step 6: Final answer
    x = 687.42

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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.