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Finding the Fourth Proportional to 504.18, 749.94 and 462.87

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Solution

The fourth proportional to 504.18, 749.94 and 462.87 is: 688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.18 : 749.94 = 462.87 : x
  2. Step 2: Convert to fraction form
    504.18/749.94 = 462.87/x
  3. Step 3: Cross multiply
    504.18x = 749.94 × 462.87
  4. Step 4: Simplify right side
    504.18x = 347,124.73
  5. Step 5: Solve for x
    x = 347,124.73/504.18
  6. Step 6: Final answer
    x = 688.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.