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Finding the Fourth Proportional to 580.13, 870.21 and 233.63

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Solution

The fourth proportional to 580.13, 870.21 and 233.63 is: 350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.13 : 870.21 = 233.63 : x
  2. Step 2: Convert to fraction form
    580.13/870.21 = 233.63/x
  3. Step 3: Cross multiply
    580.13x = 870.21 × 233.63
  4. Step 4: Simplify right side
    580.13x = 203,302.81
  5. Step 5: Solve for x
    x = 203,302.81/580.13
  6. Step 6: Final answer
    x = 350.45

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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.