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Finding the Fourth Proportional to 507.23, 760.04 and 369.64

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Solution

The fourth proportional to 507.23, 760.04 and 369.64 is: 553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.23 : 760.04 = 369.64 : x
  2. Step 2: Convert to fraction form
    507.23/760.04 = 369.64/x
  3. Step 3: Cross multiply
    507.23x = 760.04 × 369.64
  4. Step 4: Simplify right side
    507.23x = 280,941.19
  5. Step 5: Solve for x
    x = 280,941.19/507.23
  6. Step 6: Final answer
    x = 553.87

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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.