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Finding the Fourth Proportional to 581.79, 870.42 and 450.79

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Solution

The fourth proportional to 581.79, 870.42 and 450.79 is: 674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.79 : 870.42 = 450.79 : x
  2. Step 2: Convert to fraction form
    581.79/870.42 = 450.79/x
  3. Step 3: Cross multiply
    581.79x = 870.42 × 450.79
  4. Step 4: Simplify right side
    581.79x = 392,376.63
  5. Step 5: Solve for x
    x = 392,376.63/581.79
  6. Step 6: Final answer
    x = 674.43

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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.