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Finding the Fourth Proportional to 504.33, 697.73 and 416.85

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Solution

The fourth proportional to 504.33, 697.73 and 416.85 is: 576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.33 : 697.73 = 416.85 : x
  2. Step 2: Convert to fraction form
    504.33/697.73 = 416.85/x
  3. Step 3: Cross multiply
    504.33x = 697.73 × 416.85
  4. Step 4: Simplify right side
    504.33x = 290,846.67
  5. Step 5: Solve for x
    x = 290,846.67/504.33
  6. Step 6: Final answer
    x = 576.70

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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.