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Finding the Fourth Proportional to 504.23, 756 and 406.85

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Solution

The fourth proportional to 504.23, 756 and 406.85 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 756 = 406.85 : x
  2. Step 2: Convert to fraction form
    504.23/756 = 406.85/x
  3. Step 3: Cross multiply
    504.23x = 756 × 406.85
  4. Step 4: Simplify right side
    504.23x = 307,574.82
  5. Step 5: Solve for x
    x = 307,574.82/504.23
  6. Step 6: Final answer
    x = 610.00

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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.