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Finding the Fourth Proportional to 580.04, 869.24 and 305.57

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Solution

The fourth proportional to 580.04, 869.24 and 305.57 is: 457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.04 : 869.24 = 305.57 : x
  2. Step 2: Convert to fraction form
    580.04/869.24 = 305.57/x
  3. Step 3: Cross multiply
    580.04x = 869.24 × 305.57
  4. Step 4: Simplify right side
    580.04x = 265,614.31
  5. Step 5: Solve for x
    x = 265,614.31/580.04
  6. Step 6: Final answer
    x = 457.93

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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.