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Finding the Fourth Proportional to 580.67, 870.09 and 305.93

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Solution

The fourth proportional to 580.67, 870.09 and 305.93 is: 458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.67 : 870.09 = 305.93 : x
  2. Step 2: Convert to fraction form
    580.67/870.09 = 305.93/x
  3. Step 3: Cross multiply
    580.67x = 870.09 × 305.93
  4. Step 4: Simplify right side
    580.67x = 266,184.49
  5. Step 5: Solve for x
    x = 266,184.49/580.67
  6. Step 6: Final answer
    x = 458.41

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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.