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Finding the Fourth Proportional to 504.46, 756.06 and 365.41

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Solution

The fourth proportional to 504.46, 756.06 and 365.41 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.46 : 756.06 = 365.41 : x
  2. Step 2: Convert to fraction form
    504.46/756.06 = 365.41/x
  3. Step 3: Cross multiply
    504.46x = 756.06 × 365.41
  4. Step 4: Simplify right side
    504.46x = 276,271.88
  5. Step 5: Solve for x
    x = 276,271.88/504.46
  6. Step 6: Final answer
    x = 547.66

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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.