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Finding the Fourth Proportional to 504.61, 757.00 and 230.73

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Solution

The fourth proportional to 504.61, 757.00 and 230.73 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.61 : 757.00 = 230.73 : x
  2. Step 2: Convert to fraction form
    504.61/757.00 = 230.73/x
  3. Step 3: Cross multiply
    504.61x = 757.00 × 230.73
  4. Step 4: Simplify right side
    504.61x = 174,657.67
  5. Step 5: Solve for x
    x = 174,657.67/504.61
  6. Step 6: Final answer
    x = 346.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.