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Finding the Fourth Proportional to 417.60, 573.60 and 369.60

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Solution

The fourth proportional to 417.60, 573.60 and 369.60 is: 507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 573.60 = 369.60 : x
  2. Step 2: Convert to fraction form
    417.60/573.60 = 369.60/x
  3. Step 3: Cross multiply
    417.60x = 573.60 × 369.60
  4. Step 4: Simplify right side
    417.60x = 212,002.56
  5. Step 5: Solve for x
    x = 212,002.56/417.60
  6. Step 6: Final answer
    x = 507.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.