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Finding the Fourth Proportional to 580.79, 870.63 and 288.11

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Solution

The fourth proportional to 580.79, 870.63 and 288.11 is: 431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.79 : 870.63 = 288.11 : x
  2. Step 2: Convert to fraction form
    580.79/870.63 = 288.11/x
  3. Step 3: Cross multiply
    580.79x = 870.63 × 288.11
  4. Step 4: Simplify right side
    580.79x = 250,832.86
  5. Step 5: Solve for x
    x = 250,832.86/580.79
  6. Step 6: Final answer
    x = 431.89

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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.