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Finding the Fourth Proportional to 581.96, 803.15 and 430.70

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Solution

The fourth proportional to 581.96, 803.15 and 430.70 is: 594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.96 : 803.15 = 430.70 : x
  2. Step 2: Convert to fraction form
    581.96/803.15 = 430.70/x
  3. Step 3: Cross multiply
    581.96x = 803.15 × 430.70
  4. Step 4: Simplify right side
    581.96x = 345,910.54
  5. Step 5: Solve for x
    x = 345,910.54/581.96
  6. Step 6: Final answer
    x = 594.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.